Honest answer: the Bible doesn’t give 3 a.m. a special meaning. But you are awake, so pray.
I rise before dawn and cry for help. I put my hope in your words. My eyes stay open through the night watches, that I might meditate on your word. Psalm 119:147-148
It is vain for you to rise up early, to stay up late, eating the bread of toil; for he gives sleep to his loved ones. Psalm 127:2
Lord, I’m awake, and I don’t know why. It might be stress, it might be my body, or it might be You. I’m not going to guess. I’m just going to talk to You. Whatever is on my mind, I give it to You. Give me peace, and help me sleep again. Thank You that You never sleep. In Jesus’ name, amen.