Library of Congress call numbers group books by topic. Because the history and culture of the Middle East is interdisciplinary, there is no one call number range that covers all materials pertaining to this subject. The following is a sample of call numbers you might find useful.
D History (General)
DS 1- DS 937 History of Asia
DS 41 - DS 66 Middle East. Southwestern Asia. Ancient Orient. Near East
DS 67 - DS 79.9 Iraq (Assyria, Babylonia, Mesopotamia)
DS 251 - DS 326 Iran (Persia)