38129609664 has 84 divisors (see below), whose sum is σ = 109923672456. Its totient is φ = 12636369408.

The previous prime is 38129609663. The next prime is 38129609701. The reversal of 38129609664 is 46690692183.

38129609664 is a `hidden beast` number, since 3 + 8 + 1 + 29 + 609 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38129609664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38129609663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91674 + ... + 290969.

Almost surely, 2^38129609664 is an apocalyptic number.

It is an amenable number.

38129609664 is an abundant number, since it is smaller than the sum of its proper divisors (71794062792).

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

38129609664 is a wasteful number, since it uses less digits than its factorization.

38129609664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382834 (or 382821 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 38129609664 in words is "thirty-eight billion, one hundred twenty-nine million, six hundred nine thousand, six hundred sixty-four".