3004664208 has 320 divisors, whose sum is σ = 9899366400. Its totient is φ = 764375040.

The previous prime is 3004664207. The next prime is 3004664209. The reversal of 3004664208 is 8024664003.

It is an interprime number because it is at equal distance from previous prime (3004664207) and next prime (3004664209).

It is not an unprimeable number, because it can be changed into a prime (3004664203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22936303 + ... + 22936433.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 2^3004664208 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 3004664208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949683200).

3004664208 is an abundant number, since it is smaller than the sum of its proper divisors (6894702192).

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

3004664208 is a wasteful number, since it uses less digits than its factorization.

3004664208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3004664208 is about 54814.8174128128. The cubic root of 3004664208 is about 1442.9966223941.

The spelling of 3004664208 in words is "three billion, four million, six hundred sixty-four thousand, two hundred eight".