Caren is a distinctive girls' name in United States, ranking #3301 in 2003 with 44 recorded births. The name reached its all-time peak in 2006 with 55 births ranking #3060. Since 1996, the popularity has decreased by 12.0%. In 2003, approximately 1 in every 41,524 girls born was named Caren. FALLING Recent data shows the name is currently falling.