3004464000 has 256 divisors, whose sum is σ = 10156311360. Its totient is φ = 785408000.

The previous prime is 3004463999. The next prime is 3004464013. The reversal of 3004464000 is 4644003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2543410 + ... + 2544590.

Almost surely, 2^3004464000 is an apocalyptic number.

3004464000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078155680).

3004464000 is an abundant number, since it is smaller than the sum of its proper divisors (7151847360).

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

3004464000 is a wasteful number, since it uses less digits than its factorization.

3004464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3004464000 is about 54812.9911608553. The cubic root of 3004464000 is about 1442.9645715708.

The spelling of 3004464000 in words is "three billion, four million, four hundred sixty-four thousand".