3004021204800 has 2016 divisors, whose sum is σ = 13742878970880. Its totient is φ = 565434777600.

The previous prime is 3004021204753. The next prime is 3004021204843. The reversal of 3004021204800 is 84021204003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1130605072 + ... + 1130607728.

Almost surely, 2^{3004021204800} is an apocalyptic number.

3004021204800 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 3004021204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871439485440).

3004021204800 is an abundant number, since it is smaller than the sum of its proper divisors (10738857766080).

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

3004021204800 is a wasteful number, since it uses less digits than its factorization.

3004021204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3004021204800 its reverse (84021204003), we get a palindrome (3088042408803).

The spelling of 3004021204800 in words is "three trillion, four billion, twenty-one million, two hundred four thousand, eight hundred".