38678685876800 has 84 divisors (see below), whose sum is σ = 95175192279156. Its totient is φ = 15471238502400.

The previous prime is 38678685876767. The next prime is 38678685876863. The reversal of 38678685876800 is 867858687683.

It can be written as a sum of positive squares in 6 ways, for example, as 1292896347136 + 37385789529664 = 1137056^2 + 6114392^2 .

It is a Harshad number since it is a multiple of its sum of digits (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136468034 + ... + 136751166.

Almost surely, 2^{38678685876800} is an apocalyptic number.

It is an amenable number.

38678685876800 is an abundant number, since it is smaller than the sum of its proper divisors (56496506402356).

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

38678685876800 is a wasteful number, since it uses less digits than its factorization.

38678685876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368536 (or 368521 counting only the distinct ones).

The product of its (nonzero) digits is 5202247680, while the sum is 80.

The spelling of 38678685876800 in words is "thirty-eight trillion, six hundred seventy-eight billion, six hundred eighty-five million, eight hundred seventy-six thousand, eight hundred".