38149584768 has 224 divisors, whose sum is σ = 114351190200. Its totient is φ = 12671769600.

The previous prime is 38149584751. The next prime is 38149584787. The reversal of 38149584768 is 86748594183.

38149584768 is a `hidden beast` number, since 3 + 8 + 1 + 49 + 584 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×38149584768² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 36297843 + ... + 36298893.

Almost surely, 2^38149584768 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 38149584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57175595100).

38149584768 is an abundant number, since it is smaller than the sum of its proper divisors (76201605432).

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

38149584768 is an equidigital number, since it uses as much as digits as its factorization.

38149584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1445 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 38149584768 in words is "thirty-eight billion, one hundred forty-nine million, five hundred eighty-four thousand, seven hundred sixty-eight".