38570667028608 has 256 divisors, whose sum is σ = 121037216025600. Its totient is φ = 10728721305600.

The previous prime is 38570667028583. The next prime is 38570667028679. The reversal of 38570667028608 is 80682076607583.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 31 ways as a sum of consecutive naturals, for example, 7867213 + ... + 11791283.

It is an arithmetic number, because the mean of its divisors is an integer number (472801625100).

Almost surely, 2^{38570667028608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38570667028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60518608012800).

38570667028608 is an abundant number, since it is smaller than the sum of its proper divisors (82466548996992).

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

38570667028608 is a wasteful number, since it uses less digits than its factorization.

38570667028608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924291 (or 3924279 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 38570667028608 in words is "thirty-eight trillion, five hundred seventy billion, six hundred sixty-seven million, twenty-eight thousand, six hundred eight".