"HM 340 R 3644 0134" is the engine factory
build ID.
You can break it down as follows:
Model year
Engine plant
Engine displacement
Special engine information
Build date in 10,000 day calendar format (why they came up with that monster I don't know)
Number of engines built that day
So in your case it would be:
H = 1972 model year
M = Mound Road engine plant
340 = 340 CI engine
R = regular fuel (vs a "P" for premium fuel which was stamped on the higher compression 68-71 340 engines)
3644 = 20 July 1971 assembly date in 10,000 day calendar format
0134 = 134th engine assembled at the Mound Road engine plant that day
There you go!