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I think linear bookshelf distance is a normal unit for talking about collections. At least as informative as number of books. Guessing 15 meters per bookshelf from photos, 214 bookshelves? doesn't sound as cool to me.

3.2km of linear storage space makes sense for books. You aren't just piling them up in stacks, where volume might be a useful measure, and you aren't putting them arbitrarily deep on the same row because that prevents access. You'll usually store things like this one book deep. If you have a 4-row shelf where you could have an 8-row shelf with the same width, each row 1m wide, you have 4m vs 8m of linear storage space.

About 3 200 000 cm... That is actually surprisingly large number if you assign any number of centimetres for each.

You are of by a factor of 10.

You are off by one f.