38538402288 has 80 divisors (see below), whose sum is σ = 100562670720. Its totient is φ = 12716621568.

The previous prime is 38538402223. The next prime is 38538402289. The reversal of 38538402288 is 88220483583.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38538402288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38538402289) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11651931 + ... + 11655237.

It is an arithmetic number, because the mean of its divisors is an integer number (1257033384).

Almost surely, 2^38538402288 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 38538402288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50281335360).

38538402288 is an abundant number, since it is smaller than the sum of its proper divisors (62024268432).

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

38538402288 is a wasteful number, since it uses less digits than its factorization.

38538402288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 38538402288 in words is "thirty-eight billion, five hundred thirty-eight million, four hundred two thousand, two hundred eighty-eight".