I'm with Irene, that a pacer will bring your heart rate back up to where it ought to be. A resting heart rate of 38 is not unheard of, but you usually only find that in super elite athletes. Since yours was a mean heart rate of 38 for the entire 24 hour period, and a minimum of 28, it makes sense that the doctors want to help you to restore a more normal rhythm.
@stutter - I wonder if it was a simpler device, something with only 2 leads, where almost any motion can create artifacts.
My interpretation is that your heart rate is very slow in the morning, probably as you sleep. The AV node stops firing, the doctor hypothesizes, and a junctional beat (a beat originating elsewhere) gets things moving again. I'm surprised that the doctor is not more certain of the morphology. How many leads do you have? If you have a normal 6+ lead, I don't know why he would be guessing about the morphology.
What is your age?
It makes sense that a heart rate that slow, that consistently will need pacing to bring it back up to a more normal rate.