3299821265664 has 2160 divisors, whose sum is σ = 13499735356800. Its totient is φ = 790091366400.

The previous prime is 3299821265627. The next prime is 3299821265693. The reversal of 3299821265664 is 4665621289923.

It is a happy number.

3299821265664 is a `hidden beast` number, since 3 + 29 + 9 + 8 + 21 + 26 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8706652227 + ... + 8706652605.

It is an arithmetic number, because the mean of its divisors is an integer number (6249877480).

Almost surely, 2^{3299821265664} 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 3299821265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749867678400).

3299821265664 is an abundant number, since it is smaller than the sum of its proper divisors (10199914091136).

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

3299821265664 is a wasteful number, since it uses less digits than its factorization.

3299821265664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 462 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 3299821265664 in words is "three trillion, two hundred ninety-nine billion, eight hundred twenty-one million, two hundred sixty-five thousand, six hundred sixty-four".