38753418400 has 288 divisors, whose sum is σ = 102743424000. Its totient is φ = 14227799040.

The previous prime is 38753418349. The next prime is 38753418413. The reversal of 38753418400 is 481435783.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70846927 + ... + 70847473.

It is an arithmetic number, because the mean of its divisors is an integer number (356748000).

Almost surely, 2^38753418400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38753418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51371712000).

38753418400 is an abundant number, since it is smaller than the sum of its proper divisors (63990005600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38753418400 is a wasteful number, since it uses less digits than its factorization.

38753418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 38753418400 in words is "thirty-eight billion, seven hundred fifty-three million, four hundred eighteen thousand, four hundred".