3030964000 has 288 divisors, whose sum is σ = 8320502736. Its totient is φ = 1080934400.

The previous prime is 3030963977. The next prime is 3030964043. The reversal of 3030964000 is 4690303.

It can be written as a sum of positive squares in 24 ways, for example, as 298183824 + 2732780176 = 17268^2 + 52276^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57187974 + ... + 57188026.

Almost surely, 2^3030964000 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 3030964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160251368).

3030964000 is an abundant number, since it is smaller than the sum of its proper divisors (5289538736).

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

3030964000 is a wasteful number, since it uses less digits than its factorization.

3030964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 3030964000 is about 55054.1914843911. The cubic root of 3030964000 is about 1447.1945756344.

The spelling of 3030964000 in words is "three billion, thirty million, nine hundred sixty-four thousand".