3072664000 has 112 divisors (see below), whose sum is σ = 8696675520. Its totient is φ = 1053465600.

The previous prime is 3072663991. The next prime is 3072664033. The reversal of 3072664000 is 4662703.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3072664000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28566 + ... + 83434.

Almost surely, 2^3072664000 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 3072664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348337760).

3072664000 is an abundant number, since it is smaller than the sum of its proper divisors (5624011520).

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

3072664000 is an equidigital number, since it uses as much as digits as its factorization.

3072664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54903 (or 54883 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3072664000 is about 55431.6155276030. The cubic root of 3072664000 is about 1453.8012035324.

The spelling of 3072664000 in words is "three billion, seventy-two million, six hundred sixty-four thousand".