3004968960 has 624 divisors, whose sum is σ = 12696181056. Its totient is φ = 641728512.

The previous prime is 3004968947. The next prime is 3004968979. The reversal of 3004968960 is 698694003.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 21934012 + ... + 21934148.

It is an arithmetic number, because the mean of its divisors is an integer number (20346444).

Almost surely, 2^3004968960 is an apocalyptic number.

3004968960 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 3004968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348090528).

3004968960 is an abundant number, since it is smaller than the sum of its proper divisors (9691212096).

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

3004968960 is a wasteful number, since it uses less digits than its factorization.

3004968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3004968960 is about 54817.5971746300. The cubic root of 3004968960 is about 1443.0454066852.

The spelling of 3004968960 in words is "three billion, four million, nine hundred sixty-eight thousand, nine hundred sixty".