IF it is causing burning nose and throat, I would be out of there in a FLASH ! And call the fire department (probably the non-emergency number if not feeling serious ill health effects and needing ambulance) - they will come and sniff around and use their gas sniffer to check for combustible or hydrogen sulfide gas.
Possible sources - I would NOT go in there to check this is smell is at all strong:
1) if in a unit with neighbors, check if neighbors (or building manager) did a treatment for bugs (personally or by a pest treatment contractor) which might have come through the wall, ceiling, floor - especially if your kitchens might share service piping so there is likely a gap around the pipes through the wall under the sink.
2) check laundry tub or downstairs shower/tub or floor drain (whatever your lowest drain point is) to see if maybe you got a backup of sewage, which someone had dumped chemicals into
3) I would put any pressurized can that smells remotely like that outside ASAP - you cannot tell if maybe one of them is leaking a bit through a leaking nozzle seal.
4) check your floor drains/lowest drain point if any have not been used in a long time - could be the seal went dry - REAL common with floor drains/ Add about 1 gallon water with lemon MR Clean or similar good-smelling dish soap; or mixture of baking soda followed by vinegar then flushed with water after a minute or so to refill the trap and stop the smell - could be you got a shot of hydrogen sulfide gas from the sewers if your trap went dry.
5) if on septic, perhaps similar thing - leach field filled with water, backed up into septic tank that does not have a vent (older ones commonly do not, or people cap them because they stink), and it pushed septic tank gases (which can include hydrogen sulfide and other nitrous and sulferous compounds) backk into your house piping and it gurgled up through the lowest elevation drain - usually floor drain or basement/ground floor tub, shower, or laundry tub - whichever if lowest.
6) spillage (under sink - yours or neighbor's ?) of bleach or bleach-containing items like bleach or dishwasher tablets mixing with certain cleaning fluids can cause phosgene gas (same stuff as used in WW I in the trenches) - causes burning of mucous membranes and dissolved lung tissue - NASTY stuff ! Under your sink, in cabinets, or in neighbor's cabinets, or outside storage cabinet or such ?
7) sniff around house for possible burnt electrical insulation or appliance that got fried - that sort of symptom and smelll can come from buring electrical/electronics, including chargers for devices and fried laptop/cell phone batteries.