8038380432384 has 704 divisors, whose sum is σ = 26643725798400. Its totient is φ = 2382066745344.

The previous prime is 8038380432377. The next prime is 8038380432443. The reversal of 8038380432384 is 4832340838308.

8038380432384 is a `hidden beast` number, since 80 + 3 + 83 + 80 + 4 + 32 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8038380432384.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 640349052 + ... + 640361604.

Almost surely, 2^{8038380432384} 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 8038380432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13321862899200).

8038380432384 is an abundant number, since it is smaller than the sum of its proper divisors (18605345366016).

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

8038380432384 is a wasteful number, since it uses less digits than its factorization.

8038380432384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12677 (or 12653 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 8038380432384 in words is "eight trillion, thirty-eight billion, three hundred eighty million, four hundred thirty-two thousand, three hundred eighty-four".