38407867288 has 64 divisors (see below), whose sum is σ = 84823200000. Its totient is φ = 15961905792.

The previous prime is 38407867261. The next prime is 38407867313. The reversal of 38407867288 is 88276870483.

It is a super-2 number, since 2×38407867288² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277338 + ... + 392086.

It is an arithmetic number, because the mean of its divisors is an integer number (1325362500).

Almost surely, 2^38407867288 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 38407867288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42411600000).

38407867288 is an abundant number, since it is smaller than the sum of its proper divisors (46415332712).

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

38407867288 is a wasteful number, since it uses less digits than its factorization.

38407867288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114944 (or 114940 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 61.

The spelling of 38407867288 in words is "thirty-eight billion, four hundred seven million, eight hundred sixty-seven thousand, two hundred eighty-eight".