38042729088 has 256 divisors, whose sum is σ = 125152204800. Its totient is φ = 9970200576.

The previous prime is 38042729069. The next prime is 38042729159. The reversal of 38042729088 is 88092724083.

It is a super-2 number, since 2×38042729088² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38042729088.

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, 5692533 + ... + 5699211.

It is an arithmetic number, because the mean of its divisors is an integer number (488875800).

Almost surely, 2^38042729088 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 38042729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62576102400).

38042729088 is an abundant number, since it is smaller than the sum of its proper divisors (87109475712).

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

38042729088 is a wasteful number, since it uses less digits than its factorization.

38042729088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 38042729088 in words is "thirty-eight billion, forty-two million, seven hundred twenty-nine thousand, eighty-eight".