3326999905600 has 1008 divisors, whose sum is σ = 10426105257984. Its totient is φ = 1022128128000.

The previous prime is 3326999905577. The next prime is 3326999905609. The reversal of 3326999905600 is 65099996233.

It is a super-2 number, since 2×3326999905600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3326999905609) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7124196567 + ... + 7124197033.

Almost surely, 2^{3326999905600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3326999905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213052628992).

3326999905600 is an abundant number, since it is smaller than the sum of its proper divisors (7099105352384).

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

3326999905600 is a wasteful number, since it uses less digits than its factorization.

3326999905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 21257640, while the sum is 61.

The spelling of 3326999905600 in words is "three trillion, three hundred twenty-six billion, nine hundred ninety-nine million, nine hundred five thousand, six hundred".