3299796165600 has 3456 divisors, whose sum is σ = 15223785615360. Its totient is φ = 680804352000.

The previous prime is 3299796165541. The next prime is 3299796165623. The reversal of 3299796165600 is 65616979923.

3299796165600 is a `hidden beast` number, since 3 + 2 + 9 + 9 + 7 + 9 + 6 + 16 + 5 + 600 = 666.

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 45202687164 + ... + 45202687236.

It is an arithmetic number, because the mean of its divisors is an integer number (4405030560).

Almost surely, 2^{3299796165600} is an apocalyptic number.

3299796165600 is a gapful number since it is divisible by the number (30) 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 3299796165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611892807680).

3299796165600 is an abundant number, since it is smaller than the sum of its proper divisors (11923989449760).

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

3299796165600 is a wasteful number, since it uses less digits than its factorization.

3299796165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 3299796165600 in words is "three trillion, two hundred ninety-nine billion, seven hundred ninety-six million, one hundred sixty-five thousand, six hundred".