400 vs 3500 is a big difference. I wouldn't think many consumer drones could go that high. DJI has a firmware limit of 500m (about 1500ft) limit from takeoff..
It's possible, but not very probable.
There’s a firmware version (hack) for the Yuneec Typhoon Q500 4K that allows it to surpass 8000 feet. Of course those drones are big and heavy (I have one) and have crappy batteries. So flying that high seems unlikely. The power needed to climb that high would consume the battery pretty quick. Not to mention fighting winds.