Answer
I say, and with God's success: It is among the permissible acts, as long as it does not involve any religious violations such as singing, music, mixing, or others. However, if it includes good deeds and acts of charity like reading the Quran, remembrance, providing food for relatives and the poor, and giving alms, then it is commendable. A Muslim's attention to the day of his birth falls under the category of remembering God's blessings upon him in His creation. The Prophet (peace be upon him) cared about his birthday and used to fast every Monday. Abu Qatada reported that the Messenger of God (peace be upon him) was asked about fasting on Monday, and he said: "That is the day I was born on, and on it the revelation was sent down to me" in Sahih Muslim 2: 819. The Prophet (peace be upon him) also said regarding the virtue of Friday: "On it Adam was created" in Al-Muwatta 1: 108, and in Sunan Al-Tirmidhi R491, which was authenticated. And God Almighty said on the tongue of our master Jesus (peace be upon him): {And peace is on me the day I was born, and the day I die, and the day I am raised alive}[Maryam:33]. These texts clearly indicate that a Muslim's attention to his birthday is commendable, and God knows best.