3905115333696 has 1344 divisors, whose sum is σ = 13498457656320. Its totient is φ = 1111502684160.

The previous prime is 3905115333689. The next prime is 3905115333701. The reversal of 3905115333696 is 6963335115093.

3905115333696 is a `hidden beast` number, since 3 + 9 + 0 + 5 + 11 + 533 + 3 + 6 + 96 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13798993971 + ... + 13798994253.

It is an arithmetic number, because the mean of its divisors is an integer number (10043495280).

Almost surely, 2^{3905115333696} is an apocalyptic number.

3905115333696 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 3905115333696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749228828160).

3905115333696 is an abundant number, since it is smaller than the sum of its proper divisors (9593342322624).

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

3905115333696 is a wasteful number, since it uses less digits than its factorization.

3905115333696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 5904900, while the sum is 54.

The spelling of 3905115333696 in words is "three trillion, nine hundred five billion, one hundred fifteen million, three hundred thirty-three thousand, six hundred ninety-six".