3794315136768 has 864 divisors, whose sum is σ = 13042972488000. Its totient is φ = 1050110853120.

The previous prime is 3794315136757. The next prime is 3794315136769. The reversal of 3794315136768 is 8676315134973.

3794315136768 is a `hidden beast` number, since 3 + 7 + 9 + 43 + 1 + 513 + 6 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3794315136769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1006714788 + ... + 1006718556.

Almost surely, 2^{3794315136768} is an apocalyptic number.

3794315136768 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 3794315136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521486244000).

3794315136768 is an abundant number, since it is smaller than the sum of its proper divisors (9248657351232).

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

3794315136768 is a wasteful number, since it uses less digits than its factorization.

3794315136768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3896 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 3794315136768 in words is "three trillion, seven hundred ninety-four billion, three hundred fifteen million, one hundred thirty-six thousand, seven hundred sixty-eight".