3004296499200 has 624 divisors, whose sum is σ = 10141856629632. Its totient is φ = 784465920000.

The previous prime is 3004296499189. The next prime is 3004296499241. The reversal of 3004296499200 is 29946924003.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3004296499200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3947826820 + ... + 3947827580.

It is an arithmetic number, because the mean of its divisors is an integer number (16252975368).

Almost surely, 2^{3004296499200} is an apocalyptic number.

3004296499200 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 3004296499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070928314816).

3004296499200 is an abundant number, since it is smaller than the sum of its proper divisors (7137560130432).

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

3004296499200 is a wasteful number, since it uses less digits than its factorization.

3004296499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 3004296499200 in words is "three trillion, four billion, two hundred ninety-six million, four hundred ninety-nine thousand, two hundred".