3034006304 has 72 divisors (see below), whose sum is σ = 6976379340. Its totient is φ = 1295056896.

The previous prime is 3034006277. The next prime is 3034006333. The reversal of 3034006304 is 4036004303.

It can be written as a sum of positive squares in 2 ways, for example, as 2857116304 + 176890000 = 53452^2 + 13300^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3034006304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399212 + ... + 406740.

Almost surely, 2^3034006304 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 3034006304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488189670).

3034006304 is an abundant number, since it is smaller than the sum of its proper divisors (3942373036).

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

3034006304 is a wasteful number, since it uses less digits than its factorization.

3034006304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7810 (or 7795 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 3034006304 is about 55081.8146396794. The cubic root of 3034006304 is about 1447.6786167486.

The spelling of 3034006304 in words is "three billion, thirty-four million, six thousand, three hundred four".