3296056440096 has 336 divisors, whose sum is σ = 11502537883200. Its totient is φ = 909255642624.

The previous prime is 3296056440077. The next prime is 3296056440121. The reversal of 3296056440096 is 6900446506923.

3296056440096 is a `hidden beast` number, since 3 + 2 + 9 + 60 + 56 + 440 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4387575 + ... + 5083593.

It is an arithmetic number, because the mean of its divisors is an integer number (34233743700).

Almost surely, 2^{3296056440096} is an apocalyptic number.

3296056440096 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 3296056440096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5751268941600).

3296056440096 is an abundant number, since it is smaller than the sum of its proper divisors (8206481443104).

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

3296056440096 is an equidigital number, since it uses as much as digits as its factorization.

3296056440096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696083 (or 696060 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3296056440096 in words is "three trillion, two hundred ninety-six billion, fifty-six million, four hundred forty thousand, ninety-six".