I have a 360, i have posted in another thread here about it. Mine doesn't have the ball bearing style sensor. Normally you only have to breath on it and it lights up. Unfortunately it's the turning off bit letting me down now.
The sensor in mine is a silver rectangular box on some legs that are soldered in to the PCB.

Apparently faulty crystals are a know cause and on models that have a clock, that stops when the glow no longer turns off itself. Totally understandable, with the crysal no longer giving it a clock pulse it can't count time.