38532991952 has 320 divisors, whose sum is σ = 101108528640. Its totient is φ = 13801881600.

The previous prime is 38532991951. The next prime is 38532991957. The reversal of 38532991952 is 25919923583.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38532991951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60113552 + ... + 60114192.

It is an arithmetic number, because the mean of its divisors is an integer number (315964152).

Almost surely, 2^38532991952 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 38532991952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50554264320).

38532991952 is an abundant number, since it is smaller than the sum of its proper divisors (62575536688).

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

38532991952 is a wasteful number, since it uses less digits than its factorization.

38532991952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 776 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 56.

The spelling of 38532991952 in words is "thirty-eight billion, five hundred thirty-two million, nine hundred ninety-one thousand, nine hundred fifty-two".