38016825960960 has 720 divisors, whose sum is σ = 167082549952032. Its totient is φ = 7899597619200.

The previous prime is 38016825960943. The next prime is 38016825960991. The reversal of 38016825960960 is 6906952861083.

38016825960960 is a `hidden beast` number, since 3 + 8 + 0 + 16 + 8 + 2 + 5 + 9 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×38016825960960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10887915 + ... + 13949205.

Almost surely, 2^{38016825960960} is an apocalyptic number.

38016825960960 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 38016825960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83541274976016).

38016825960960 is an abundant number, since it is smaller than the sum of its proper divisors (129065723991072).

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

38016825960960 is a wasteful number, since it uses less digits than its factorization.

38016825960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061345 (or 3061319 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 38016825960960 in words is "thirty-eight trillion, sixteen billion, eight hundred twenty-five million, nine hundred sixty thousand, nine hundred sixty".