If it's not too hot to touch I wouldn't panic. If it is too hot to touch it might cause a fire!
If it dies without starting a fire you can just replace it with something else.
32 bits, 384000 Hz generates more heat and less expectancy life of dongle dac and iem?
I wouldn't expect so. But apparently you have it so you can test with an MP3 or "CD quality" file to see if it runs cooler.
Lower impedance headphones may cause it to run hotter and it may run hotter if you listen louder. Try it with nothing plugged-in and/or with no sound.
FYI - You don't
need 32-bits or 384kHz (except for DSD which is has a high "sample rate"). And regular music isn't distributed as 32/384. The pro studio standard is 24/96.
For audio editing, 32-bit (or sometimes 64-bit) floating point is standard because processing is "easier" in floating point and floating point can go over 0dBFS temporarily while editing without
Clipping.
I don't think there are any DACs that have even 24-bits of
useable resolution. 32-bits is only possible in the digital domain, not in the real-physical world. The usable resolution is limited by noise. If you're not hearing noise it can get measurably better but it won't sound better. The sample rate limits the high frequencies. (The audio can't exceed half of the sample rate.) 44.1kHz or 48kHz can give you the full audio range. You only need higher sample rates for scientific non-audio applications, or for bat "sounds", etc.