38644075728 has 160 divisors (see below), whose sum is σ = 114679802880. Its totient is φ = 12446369280.

The previous prime is 38644075727. The next prime is 38644075739. The reversal of 38644075728 is 82757044683.

38644075728 is a `hidden beast` number, since 3 + 8 + 64 + 4 + 0 + 7 + 572 + 8 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38644075727) 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, 10350150 + ... + 10353882.

It is an arithmetic number, because the mean of its divisors is an integer number (716748768).

Almost surely, 2^38644075728 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 38644075728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57339901440).

38644075728 is an abundant number, since it is smaller than the sum of its proper divisors (76035727152).

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

38644075728 is a wasteful number, since it uses less digits than its factorization.

38644075728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 38644075728 in words is "thirty-eight billion, six hundred forty-four million, seventy-five thousand, seven hundred twenty-eight".