3004301304000 has 672 divisors, whose sum is σ = 10882565179200. Its totient is φ = 791101440000.

The previous prime is 3004301303963. The next prime is 3004301304007. The reversal of 3004301304000 is 4031034003.

It is a super-2 number, since 2×3004301304000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3004301304007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2070503275 + ... + 2070504725.

Almost surely, 2^{3004301304000} is an apocalyptic number.

3004301304000 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 3004301304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441282589600).

3004301304000 is an abundant number, since it is smaller than the sum of its proper divisors (7878263875200).

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

3004301304000 is a wasteful number, since it uses less digits than its factorization.

3004301304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3004301304000 its reverse (4031034003), we get a palindrome (3008332338003).

The spelling of 3004301304000 in words is "three trillion, four billion, three hundred one million, three hundred four thousand".