38332993104 has 240 divisors, whose sum is σ = 124275295872. Its totient is φ = 10803981312.

The previous prime is 38332993093. The next prime is 38332993147. The reversal of 38332993104 is 40139923383.

38332993104 is a `hidden beast` number, since 3 + 8 + 3 + 329 + 9 + 310 + 4 = 666.

It is a super-2 number, since 2×38332993104² (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 38332993104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31601202 + ... + 31602414.

Almost surely, 2^38332993104 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 38332993104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62137647936).

38332993104 is an abundant number, since it is smaller than the sum of its proper divisors (85942302768).

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

38332993104 is a wasteful number, since it uses less digits than its factorization.

38332993104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 38332993104 in words is "thirty-eight billion, three hundred thirty-two million, nine hundred ninety-three thousand, one hundred four".