Caren is a distinctive girls' name in United States, ranking #3348 in 2002 with 41 recorded births. The name reached its all-time peak in 2006 with 55 births ranking #3060. Since 1996, the popularity has decreased by 18.0%. In 2002, approximately 1 in every 43,825 girls born was named Caren. FALLING Recent data shows the name is currently falling.