38120641056 has 288 divisors, whose sum is σ = 114652661760. Its totient is φ = 11997683712.

The previous prime is 38120641049. The next prime is 38120641081. The reversal of 38120641056 is 65014602183.

It is a happy number.

38120641056 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 0 + 641 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38120641056.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88038216 + ... + 88038648.

It is an arithmetic number, because the mean of its divisors is an integer number (398099520).

Almost surely, 2^38120641056 is an apocalyptic number.

38120641056 is a gapful number since it is divisible by the number (36) 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 38120641056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57326330880).

38120641056 is an abundant number, since it is smaller than the sum of its proper divisors (76532020704).

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

38120641056 is a wasteful number, since it uses less digits than its factorization.

38120641056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 38120641056 in words is "thirty-eight billion, one hundred twenty million, six hundred forty-one thousand, fifty-six".