3004965600 has 288 divisors, whose sum is σ = 12039229440. Its totient is φ = 633968640.

The previous prime is 3004965583. The next prime is 3004965629. The reversal of 3004965600 is 65694003.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211521 + ... + 225279.

It is an arithmetic number, because the mean of its divisors is an integer number (41802880).

Almost surely, 2^3004965600 is an apocalyptic number.

3004965600 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 3004965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6019614720).

3004965600 is an abundant number, since it is smaller than the sum of its proper divisors (9034263840).

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

3004965600 is a wasteful number, since it uses less digits than its factorization.

3004965600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13802 (or 13789 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 3004965600 is about 54817.5665275284. The cubic root of 3004965600 is about 1443.0448688389.

The spelling of 3004965600 in words is "three billion, four million, nine hundred sixty-five thousand, six hundred".