39793332384 has 144 divisors (see below), whose sum is σ = 121968565992. Its totient is φ = 12233908224.

The previous prime is 39793332331. The next prime is 39793332391. The reversal of 39793332384 is 48323339793.

39793332384 is a `hidden beast` number, since 3 + 9 + 79 + 333 + 238 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37581699600 + 2211632784 = 193860^2 + 47028^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 39793332384.

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, 5361444 + ... + 5368860.

Almost surely, 2^39793332384 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 39793332384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60984282996).

39793332384 is an abundant number, since it is smaller than the sum of its proper divisors (82175233608).

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

39793332384 is a wasteful number, since it uses less digits than its factorization.

39793332384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8879 (or 8868 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 54.

The spelling of 39793332384 in words is "thirty-nine billion, seven hundred ninety-three million, three hundred thirty-two thousand, three hundred eighty-four".