38001508909056 has 1920 divisors, whose sum is σ = 146055822390720. Its totient is φ = 9735634944000.

The previous prime is 38001508909027. The next prime is 38001508909079. The reversal of 38001508909056 is 65090980510083.

It is a happy number.

38001508909056 is a `hidden beast` number, since 3 + 80 + 0 + 1 + 508 + 9 + 0 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×38001508909056² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38001508908993 and 38001508909011.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 144492429181 + ... + 144492429443.

Almost surely, 2^{38001508909056} is an apocalyptic number.

38001508909056 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 38001508909056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73027911195360).

38001508909056 is an abundant number, since it is smaller than the sum of its proper divisors (108054313481664).

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

38001508909056 is a wasteful number, since it uses less digits than its factorization.

38001508909056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 38001508909056 in words is "thirty-eight trillion, one billion, five hundred eight million, nine hundred nine thousand, fifty-six".