Shadai \sh(a)-dai\ as a girl's name is a variant of Shadiya (Arabic), and the meaning of Shadai is "singer".
The baby name Shadai sounds like Shadi and Shadae. Other similar baby names are Shardai, Shanti, Shanda, Sharay, Sherai, Sada, Sadah, Shari, Shara, Sharaia, Sharae, Shanay, Shaka, Shadya, Shadia, Shade, Shadow, Shadoe, Shaili, Shani, Shana, Shandi, Shanae, Shanah, Shantai, Shardei, Sharday, Shardae, Shashi, Shawni, Shaya, Shayda and Thada.