As described, I just installed the game and now my ps4 is humming very loudly, normally that's not the case.
The fan on the PS4 is very loud when the PS4 has to work a lot. This is normal with the PS4. Unfortunately, there's nothing you can do except turn the TV up.
Yes, I know this noise too.
But that's different, it sounds different.
Either the PS4 is older and by chance it is slowly giving up or there's dust in the Playstation. This can have many reasons. If your fan gets extremely loud that you can tell that is not normal I would be worried. But if the PS is just a little louder than usual then I would just keep calm and watch the whole thing