38813698560 has 1280 divisors, whose sum is σ = 167189299200. Its totient is φ = 7453016064.

The previous prime is 38813698549. The next prime is 38813698577. The reversal of 38813698560 is 6589631883.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 38813698560.

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 127 ways as a sum of consecutive naturals, for example, 491312601 + ... + 491312679.

It is an arithmetic number, because the mean of its divisors is an integer number (130616640).

Almost surely, 2^38813698560 is an apocalyptic number.

38813698560 is a gapful number since it is divisible by the number (30) 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 38813698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83594649600).

38813698560 is an abundant number, since it is smaller than the sum of its proper divisors (128375600640).

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

38813698560 is a wasteful number, since it uses less digits than its factorization.

38813698560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 38813698560 in words is "thirty-eight billion, eight hundred thirteen million, six hundred ninety-eight thousand, five hundred sixty".