I was able to find my own (print) book, published in August, 2023 in https://www.worldcat.org/, but apparently you need a paid subscription to see the call number. However, WorldCat does list libraries that have a book, and you can sometimes find the call number by checking the entry of a particular library. I found Atlas of Male Infertility Microsurgery in WorldCat, but was unable to find a record with a LOC call number. (One of the libraries with this book lists the call number as "R1.")
The Library of Congress no longer attempts to catalog "everything," and unless a copyright registration is submitted, probably doesn't even know about most material, especially self-published material. The cataloging in publication (CIP) data in most books comes from catalogers who either work for publishers or provide a paid service to small publishers and individuals. For that reason, not every publication will even have a LOC call number.
Update: I found this note at the MiraCosta College Library's web site: "Keep in mind that only physical items, not electronic ones, will have call numbers."