3808934793216 has 780 divisors, whose sum is σ = 13328333865792. Its totient is φ = 1061760172032.

The previous prime is 3808934793199. The next prime is 3808934793221. The reversal of 3808934793216 is 6123974398083.

3808934793216 is a `hidden beast` number, since 3 + 80 + 89 + 3 + 479 + 3 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4294176325 + ... + 4294177211.

Almost surely, 2^{3808934793216} is an apocalyptic number.

3808934793216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3808934793216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664166932896).

3808934793216 is an abundant number, since it is smaller than the sum of its proper divisors (9519399072576).

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

3808934793216 is an frugal number, since it uses more digits than its factorization.

3808934793216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 3808934793216 in words is "three trillion, eight hundred eight billion, nine hundred thirty-four million, seven hundred ninety-three thousand, two hundred sixteen".