I miss riding at that time of night. I transferred out of the ER a few months ago, but my schedule there had me off at 0330 one night a week. Having the streets to yourself is priceless. No car noise, no worries about getting run over, no pedestrians. Well, almost, a couple of times I nearly hit joggers wearing all dark clothes, but decent lights saved them and me.
Enjoy it! I'm envious! If I could pick the time of day my commutes would be this would be it.