38106807984 has 120 divisors (see below), whose sum is σ = 122812115712. Its totient is φ = 10804510080.

The previous prime is 38106807953. The next prime is 38106808009. The reversal of 38106807984 is 48970860183.

It is a super-2 number, since 2×38106807984² (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 38106807984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12244 + ... + 276339.

Almost surely, 2^38106807984 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 38106807984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61406057856).

38106807984 is an abundant number, since it is smaller than the sum of its proper divisors (84705307728).

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

38106807984 is a wasteful number, since it uses less digits than its factorization.

38106807984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288735 (or 288726 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 38106807984 in words is "thirty-eight billion, one hundred six million, eight hundred seven thousand, nine hundred eighty-four".