3206304000 has 360 divisors, whose sum is σ = 11941297368. Its totient is φ = 854323200.

The previous prime is 3206303963. The next prime is 3206304001. The reversal of 3206304000 is 4036023.

3206304000 is a `hidden beast` number, since 32 + 0 + 630 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19927296 + 3186376704 = 4464^2 + 56448^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3206304001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2591382 + ... + 2592618.

Almost surely, 2^3206304000 is an apocalyptic number.

3206304000 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 3206304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5970648684).

3206304000 is an abundant number, since it is smaller than the sum of its proper divisors (8734993368).

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

3206304000 is an equidigital number, since it uses as much as digits as its factorization.

3206304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3206304000 is about 56624.2350941715. The cubic root of 3206304000 is about 1474.5796369862.

The spelling of 3206304000 in words is "three billion, two hundred six million, three hundred four thousand".