.38 Military & Police revolver from about 1948. The C prefix numbers started in March of that year. These were among the earliest guns to have the high-speed hammer that characterized the second generation of postwar Military & Police revolvers. There was some overlap in the hammer use between these and the late S prefix revolvers.
Your revolver does not have a model number because those were first assigned in 1957 and started shipping in 1958. Eventually, guns like yours would be called the Model 10 Military & Police revolver.
I'd say shipping was more likely to be in 1949, as I show SNs on either side of C658XX which did. The latest SN I show as shipping in late 1948 was about C34xxx. You'll need to get a factory letter to know the date exactly. Many collectors would call your M&P a pre-Model 10, the reasoning being that it's essentially the same as those revolvers made after S&W started model numbering in 1957-58. The number in the yoke is just an assembly matching number, and is meaningless to anyone else.