About which animal is the Mexican folk song "La Cucaracha"?

My Spanish teacher in high school taught us the song and words.

I used to have that car horn in my van

Anna J, Catchy Tune + Comical lyrics

I watch Mexican and Japanese movies. Jet li, Bruce Lee, Jackie Chan and they are all so good at fighting and I know the guy in the karate kid like mohagee his culture doesn’t believe in killing insects or anything.

Rey, animal?