3225979296 has 144 divisors (see below), whose sum is σ = 10225051200. Its totient is φ = 958777344.

The previous prime is 3225979283. The next prime is 3225979307. The reversal of 3225979296 is 6929795223.

3225979296 is a `hidden beast` number, since 3 + 22 + 597 + 9 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75685 + ... + 110363.

It is an arithmetic number, because the mean of its divisors is an integer number (71007300).

Almost surely, 2^3225979296 is an apocalyptic number.

3225979296 is a gapful number since it is divisible by the number (36) 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 3225979296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112525600).

3225979296 is an abundant number, since it is smaller than the sum of its proper divisors (6999071904).

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

3225979296 is a wasteful number, since it uses less digits than its factorization.

3225979296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34731 (or 34720 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 3225979296 is about 56797.7050240589. The cubic root of 3225979296 is about 1477.5897120581.

The spelling of 3225979296 in words is "three billion, two hundred twenty-five million, nine hundred seventy-nine thousand, two hundred ninety-six".