They are actually more subject because CCDs are currently much smaller than 35mm. The lines are not resolved as straight, sharp-edged entities, but you can tell there is a white line next to a black line. There is more information to be extracted even at this fine resolution, but the deeper you go, the more noise you also extract. Subjective tests suggest this is to about 3200 DPI, or around 4300 pixels. You could blow up the 35mm shot a little bit more and see a little bit more, but only at the cost of producing a grainy image.
Prints also are analogue output.
In theory a print can have all the information of film, however photographic paper tends to only be able to hold a range of 100 to 1 in contrast. That's less than a monitor can. In addition, the printing process is not perfect, and often blurs an image. Typical lab prints don't seem to store much more than 200-250 pixels for each inch. Quality labs can do better.