Mathematics was the center of Bari's intellectual life, but she enjoyed literature and the arts. She was also a mountain hiking enthusiast and tackled the Caucasus, Altai, Pamir and Tian Shan mountain ranges in Russia. Bari's interest in mountain hiking was inspired by her husband, Viktor Vladimirovich Nemytskii, a Soviet mathematician, Moscow State professor and an avid mountain explorer. There is no documentation of their marriage available, but contemporaries believe the two married later in life. Bari's last work—her 55th publication—was a 900-page monograph on the state of the art of trigonometric series theory, which is recognized as a standard reference work for those specializing in function and trigonometric series theory.