There are a vast number of cities that were not under Islamic control in 632 C.E., but in order to answer your question, we would need the map.
Islam.
About 1/3 of the Western Arabian Peninsula.
Islam
No one, because The Prophet of Islam Muhammad S.A.W. has not born yet The three kingdoms era are around 180 AD - 230 AD Muhammad The Prophet born in 632 AD
Muhammad was the founder and earliest leader of Islam. His date of birth is unknown but he died in Medina, Saudi Arabia in 632 AD.
A:Muhammad, the founder of Islam, was born in 570 CE, just over 1440 years ago. He died in 632 CE.
In year 632 ADIn more details:Muhammad (Peace Be upon Him and His Family) the final Prophet of Allah and Islam religion, died in the evening of the twelfth of Rabi' al-Awwal in 10 A.H. on Friday (in Gregorian calendar: Friday, June 8, 632 A.D.) at the age of sixty-three.
Islam likely reached Oman when the Arab tribes of eastern Arabia joined with Mohammed and the Muslims in 632 CE, following the capitulation of the Meccans.
Prophet Muhammad (peace be upon him) died on the 8th of June 632 AD. However, Prophet Muhammad is not Islam religion founder. Islam religion is God religion per God Quran revelation to prophet Muhammad through the Angel Gabriel (Jibril) in year 610 AD. See question listed below for more information.
Countries at that time: the Islamic Empire. The Islamic Empire in 632 C.E. occupies the modern states of Saudi Arabia, Yemen, Oman, the UAE, Qatar, and Bahrain.
Prophet Muhammad (S) died in the year 632 and the peak of the Rashidun Caliphate was in 654, when Islam spread from Morocco to Iran.
Muhammad Prophet was born in 570 CE, in a small town in Arabia. Around 610 CE he founded Islam. Some people didn't like Islam so they forced Muhammad and his followers to flee to Medina in 622 CE. Within 10 years, the Prophet won considerable support and had a devoted army with him. When Muhammad died in 632 CE, all of Arabia had converted to Islam. Therefore, Arabia submitted to Islam around 632 CE.