3299107990464 has 1344 divisors, whose sum is σ = 12165938380800. Its totient is φ = 866607206400.

The previous prime is 3299107990463. The next prime is 3299107990501. The reversal of 3299107990464 is 4640997019923.

3299107990464 is a `hidden beast` number, since 3 + 2 + 9 + 9 + 10 + 79 + 90 + 464 = 666.

It is a super-2 number, since 2×3299107990464² (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 (3299107990463) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11657625267 + ... + 11657625549.

Almost surely, 2^{3299107990464} 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 3299107990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082969190400).

3299107990464 is an abundant number, since it is smaller than the sum of its proper divisors (8866830390336).

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

3299107990464 is a wasteful number, since it uses less digits than its factorization.

3299107990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 3299107990464 in words is "three trillion, two hundred ninety-nine billion, one hundred seven million, nine hundred ninety thousand, four hundred sixty-four".