Samsung Galaxy A3 - stuck on empty battery boot screen after total battery drain

So, the battery on my Samsung Galaxy A3 drained completely. Then I plugged in USB cable, and the empty battery logo appeared - and nothing else, to graphics to indicate it was charging: I left the USB plugged in for some 15-20 minutes, then I unplugged it. Now the screen STILL shows an empty battery logo, even after some 15-20 minutes after unplugging. I had kept power button pressed for more than 30 seconds, nothing happens. I had kept Volume Up + Power button pressed for more than 10 seconds, in hopes it would reboot to recovery, nothing happens. I would have taken out the battery at this point, but this damn phone does not allow the battery to be replaced. What do I do now to get this phone working again?