38907052704 has 576 divisors, whose sum is σ = 133145026560. Its totient is φ = 11074268160.

The previous prime is 38907052673. The next prime is 38907052711. The reversal of 38907052704 is 40725070983.

38907052704 is a `hidden beast` number, since 38 + 90 + 7 + 0 + 527 + 0 + 4 = 666.

It is a super-2 number, since 2×38907052704² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38907052704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90271369 + ... + 90271799.

It is an arithmetic number, because the mean of its divisors is an integer number (231154560).

Almost surely, 2^38907052704 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 38907052704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66572513280).

38907052704 is an abundant number, since it is smaller than the sum of its proper divisors (94237973856).

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

38907052704 is a wasteful number, since it uses less digits than its factorization.

38907052704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 38907052704 in words is "thirty-eight billion, nine hundred seven million, fifty-two thousand, seven hundred four".