38686008578067 has 32 divisors (see below), whose sum is σ = 57425517388800. Its totient is φ = 25739878122144.

The previous prime is 38686008577981. The next prime is 38686008578101. The reversal of 38686008578067 is 76087580068683.

It is a happy number.

38686008578067 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 600 + 8 + 5 + 7 + 8 + 0 + 6 + 7 = 666.

It is not a de Polignac number, because 38686008578067 - 2²⁷ = 38685874360339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38686008577986 and 38686008578004.

It is not an unprimeable number, because it can be changed into a prime (38686008576067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87109984 + ... + 87552962.

It is an arithmetic number, because the mean of its divisors is an integer number (1794547418400).

Almost surely, 2^{38686008578067} is an apocalyptic number.

38686008578067 is a deficient number, since it is larger than the sum of its proper divisors (18739508810733).

38686008578067 is a wasteful number, since it uses less digits than its factorization.

38686008578067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449352 (or 449346 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 38686008578067 in words is "thirty-eight trillion, six hundred eighty-six billion, eight million, five hundred seventy-eight thousand, sixty-seven".