3299512320 has 728 divisors, whose sum is σ = 13536577656. Its totient is φ = 764411904.

The previous prime is 3299512313. The next prime is 3299512343. The reversal of 3299512320 is 232159923.

3299512320 is a `hidden beast` number, since 32 + 99 + 512 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 241864704 + 3057647616 = 15552^2 + 55296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 194088952 + ... + 194088968.

Almost surely, 2^3299512320 is an apocalyptic number.

3299512320 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 3299512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768288828).

3299512320 is an abundant number, since it is smaller than the sum of its proper divisors (10237065336).

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

3299512320 is an equidigital number, since it uses as much as digits as its factorization.

3299512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3299512320 is about 57441.3815989831. The cubic root of 3299512320 is about 1488.7322098769.

The spelling of 3299512320 in words is "three billion, two hundred ninety-nine million, five hundred twelve thousand, three hundred twenty".