38456532864 has 512 divisors, whose sum is σ = 126904320000. Its totient is φ = 11402772480.

The previous prime is 38456532857. The next prime is 38456532911. The reversal of 38456532864 is 46823565483.

38456532864 is a `hidden beast` number, since 3 + 8 + 45 + 6 + 532 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 38456532864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201343009 + ... + 201343199.

It is an arithmetic number, because the mean of its divisors is an integer number (247860000).

Almost surely, 2^38456532864 is an apocalyptic number.

38456532864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38456532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63452160000).

38456532864 is an abundant number, since it is smaller than the sum of its proper divisors (88447787136).

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

38456532864 is a wasteful number, since it uses less digits than its factorization.

38456532864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 385 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 38456532864 in words is "thirty-eight billion, four hundred fifty-six million, five hundred thirty-two thousand, eight hundred sixty-four".