Caren is a distinctive girls' name in United States, ranking #3056 in 2001 with 46 recorded births. This places Caren in the top 17% 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 2001, approximately 1 in every 39,143 girls born was named Caren. FALLING Recent data shows the name is currently falling.