38681572608 has 648 divisors, whose sum is σ = 139266615488. Its totient is φ = 10107224064.

The previous prime is 38681572607. The next prime is 38681572613. The reversal of 38681572608 is 80627518683.

38681572608 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 1 + 572 + 60 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38681572607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 200422560 + ... + 200422752.

Almost surely, 2^38681572608 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 38681572608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69633307744).

38681572608 is an abundant number, since it is smaller than the sum of its proper divisors (100585042880).

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

38681572608 is a wasteful number, since it uses less digits than its factorization.

38681572608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 38681572608 in words is "thirty-eight billion, six hundred eighty-one million, five hundred seventy-two thousand, six hundred eight".