3320879904 has 48 divisors (see below), whose sum is σ = 9685902240. Its totient is φ = 1106959680.

The previous prime is 3320879897. The next prime is 3320879917. The reversal of 3320879904 is 4099780233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3320879904² = 22056486673582098432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3320879904.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1920942 + ... + 1922669.

It is an arithmetic number, because the mean of its divisors is an integer number (201789630).

Almost surely, 2^3320879904 is an apocalyptic number.

It is an amenable number.

3320879904 is an abundant number, since it is smaller than the sum of its proper divisors (6365022336).

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

3320879904 is a wasteful number, since it uses less digits than its factorization.

3320879904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843630 (or 3843616 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3320879904 is about 57627.0761361359. The cubic root of 3320879904 is about 1491.9389654155.

The spelling of 3320879904 in words is "three billion, three hundred twenty million, eight hundred seventy-nine thousand, nine hundred four".