3812792515168 has 768 divisors, whose sum is σ = 10568691302400. Its totient is φ = 1311314780160.

The previous prime is 3812792515153. The next prime is 3812792515247. The reversal of 3812792515168 is 8615152972183.

It is a super-2 number, since 2×3812792515168² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3228443538 + ... + 3228444718.

It is an arithmetic number, because the mean of its divisors is an integer number (13761316800).

Almost surely, 2^{3812792515168} is an apocalyptic number.

3812792515168 is a gapful number since it is divisible by the number (38) 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 3812792515168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284345651200).

3812792515168 is an abundant number, since it is smaller than the sum of its proper divisors (6755898787232).

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

3812792515168 is a wasteful number, since it uses less digits than its factorization.

3812792515168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1347 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 58.

The spelling of 3812792515168 in words is "three trillion, eight hundred twelve billion, seven hundred ninety-two million, five hundred fifteen thousand, one hundred sixty-eight".