38900477952 has 312 divisors, whose sum is σ = 129537847296. Its totient is φ = 11017617408.

The previous prime is 38900477923. The next prime is 38900478017. The reversal of 38900477952 is 25977400983.

38900477952 is a `hidden beast` number, since 3 + 89 + 0 + 0 + 477 + 95 + 2 = 666.

It is a super-2 number, since 2×38900477952² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 32771503 + ... + 32772689.

It is an arithmetic number, because the mean of its divisors is an integer number (415185408).

Almost surely, 2^38900477952 is an apocalyptic number.

38900477952 is a gapful number since it is divisible by the number (32) 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 38900477952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64768923648).

38900477952 is an abundant number, since it is smaller than the sum of its proper divisors (90637369344).

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

38900477952 is a wasteful number, since it uses less digits than its factorization.

38900477952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 38900477952 in words is "thirty-eight billion, nine hundred million, four hundred seventy-seven thousand, nine hundred fifty-two".