It is a confirmed Sunnah for men to pronounce the Adhan and Iqamah for prayer whether one is praying alone or in congregation. It is also an act of sunnah to say “As-salatu khayrun min an-nawm” (prayer is better than sleep) in the morning Adhan. This is called At-Tathweeb.
Elaborating more on this, we cite what Sheikh Sayyed Sabiq states in his well-known book, Fiqh Us-Sunnah: It is part of the Shari`ah that the caller to prayer says, “As-salatu khayrun min an-nawm” (prayer is better than sleep) in the morning Adhan. Abu Mahdhurah asked the Prophet (peace and blessings be upon him) to teach him the Adhan, and he told him, “If it is the morning Adhan, say, As-salatu khayrun min an-nawm, as-salatu kharyun min an-nawm. Allahu akbar, Allahu akbar. La illaha illal-lah.” (Reported by Ahmad and Abu Dawud. ) It is to be said only in the morning Adhan.