3004641504 has 72 divisors (see below), whose sum is σ = 8559205200. Its totient is φ = 999817728.

The previous prime is 3004641491. The next prime is 3004641517. The reversal of 3004641504 is 4051464003.

It is an interprime number because it is at equal distance from previous prime (3004641491) and next prime (3004641517).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 163804 + ... + 181220.

It is an arithmetic number, because the mean of its divisors is an integer number (118877850).

Almost surely, 2^3004641504 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 3004641504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279602600).

3004641504 is an abundant number, since it is smaller than the sum of its proper divisors (5554563696).

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

3004641504 is a wasteful number, since it uses less digits than its factorization.

3004641504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18032 (or 18021 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3004641504 is about 54814.6103151340. The cubic root of 3004641504 is about 1442.9929878363.

The spelling of 3004641504 in words is "three billion, four million, six hundred forty-one thousand, five hundred four".