38753167752 has 384 divisors, whose sum is σ = 122273424000. Its totient is φ = 10988421120.

The previous prime is 38753167711. The next prime is 38753167753. The reversal of 38753167752 is 25776135783.

It is a happy number.

38753167752 is a `hidden beast` number, since 38 + 7 + 531 + 6 + 7 + 75 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (38753167753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150790408 + ... + 150790664.

It is an arithmetic number, because the mean of its divisors is an integer number (318420375).

Almost surely, 2^38753167752 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 38753167752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61136712000).

38753167752 is an abundant number, since it is smaller than the sum of its proper divisors (83520256248).

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

38753167752 is a wasteful number, since it uses less digits than its factorization.

38753167752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 494 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The spelling of 38753167752 in words is "thirty-eight billion, seven hundred fifty-three million, one hundred sixty-seven thousand, seven hundred fifty-two".