38001917088 has 72 divisors (see below), whose sum is σ = 108198990900. Its totient is φ = 12651945984.

The previous prime is 38001917047. The next prime is 38001917089. The reversal of 38001917088 is 88071910083.

38001917088 is a `hidden beast` number, since 380 + 0 + 191 + 7 + 0 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34913669904 + 3088247184 = 186852^2 + 55572^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (38001917089) 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, 159168 + ... + 318336.

Almost surely, 2^38001917088 is an apocalyptic number.

It is an amenable number.

38001917088 is an abundant number, since it is smaller than the sum of its proper divisors (70197073812).

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

38001917088 is a wasteful number, since it uses less digits than its factorization.

38001917088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160014 (or 160003 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 38001917088 in words is "thirty-eight billion, one million, nine hundred seventeen thousand, eighty-eight".