38338474366080 has 512 divisors, whose sum is σ = 163346893056000. Its totient is φ = 8301864628224.

The previous prime is 38338474366063. The next prime is 38338474366091. The reversal of 38338474366080 is 8066347483383.

38338474366080 is a `hidden beast` number, since 3 + 83 + 3 + 8 + 47 + 436 + 6 + 0 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38338474365999 and 38338474366017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6042594 + ... + 10639073.

It is an arithmetic number, because the mean of its divisors is an integer number (319036900500).

Almost surely, 2^{38338474366080} is an apocalyptic number.

38338474366080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38338474366080 is an abundant number, since it is smaller than the sum of its proper divisors (125008418689920).

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

38338474366080 is a wasteful number, since it uses less digits than its factorization.

38338474366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16681721 (or 16681703 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 38338474366080 in words is "thirty-eight trillion, three hundred thirty-eight billion, four hundred seventy-four million, three hundred sixty-six thousand, eighty".