3004344144000 has 768 divisors, whose sum is σ = 11378900332800. Its totient is φ = 757544140800.

The previous prime is 3004344143987. The next prime is 3004344144001. The reversal of 3004344144000 is 4414434003.

3004344144000 is a `hidden beast` number, since 300 + 4 + 344 + 14 + 4 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3004344144001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2826287469 + ... + 2826288531.

It is an arithmetic number, because the mean of its divisors is an integer number (14816276475).

Almost surely, 2^{3004344144000} is an apocalyptic number.

3004344144000 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 3004344144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689450166400).

3004344144000 is an abundant number, since it is smaller than the sum of its proper divisors (8374556188800).

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

3004344144000 is a wasteful number, since it uses less digits than its factorization.

3004344144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3004344144000 its reverse (4414434003), we get a palindrome (3008758578003).

The spelling of 3004344144000 in words is "three trillion, four billion, three hundred forty-four million, one hundred forty-four thousand".