38689656642 has 384 divisors, whose sum is σ = 115474544640. Its totient is φ = 9422645760.

The previous prime is 38689656641. The next prime is 38689656647. The reversal of 38689656642 is 24665698683.

38689656642 is a `hidden beast` number, since 3 + 8 + 68 + 9 + 6 + 566 + 4 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38689656642.

It is not an unprimeable number, because it can be changed into a prime (38689656641) 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 191 ways as a sum of consecutive naturals, for example, 34451493 + ... + 34452615.

It is an arithmetic number, because the mean of its divisors is an integer number (300714960).

Almost surely, 2^38689656642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38689656642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57737272320).

38689656642 is an abundant number, since it is smaller than the sum of its proper divisors (76784887998).

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

38689656642 is a wasteful number, since it uses less digits than its factorization.

38689656642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1208 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 38689656642 in words is "thirty-eight billion, six hundred eighty-nine million, six hundred fifty-six thousand, six hundred forty-two".