38258528256 has 624 divisors, whose sum is σ = 129509539200. Its totient is φ = 11133517824.

The previous prime is 38258528227. The next prime is 38258528293. The reversal of 38258528256 is 65282585283.

38258528256 is a `hidden beast` number, since 3 + 8 + 2 + 585 + 2 + 8 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429871060 + ... + 429871148.

Almost surely, 2^38258528256 is an apocalyptic number.

38258528256 is a gapful number since it is divisible by the number (36) 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 38258528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64754769600).

38258528256 is an abundant number, since it is smaller than the sum of its proper divisors (91251010944).

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

38258528256 is a wasteful number, since it uses less digits than its factorization.

38258528256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 130 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 38258528256 in words is "thirty-eight billion, two hundred fifty-eight million, five hundred twenty-eight thousand, two hundred fifty-six".