Caren is a distinctive girls' name in United States, ranking #2515 in 1996 with 50 recorded births. This places Caren in the top 16% of ranked US girls' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 2006 with 55 births ranking #3060. In 1996, approximately 1 in every 35,059 girls born was named Caren. FALLING Recent data shows the name is currently falling.