3003200144000 has 1536 divisors, whose sum is σ = 9716819374080. Its totient is φ = 902430720000.

The previous prime is 3003200143973. The next prime is 3003200144047. The reversal of 3003200144000 is 4410023003.

It is a super-2 number, since 2×3003200144000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 3003200144000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41139727964 + ... + 41139728036.

It is an arithmetic number, because the mean of its divisors is an integer number (6326054280).

Almost surely, 2^{3003200144000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003200144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858409687040).

3003200144000 is an abundant number, since it is smaller than the sum of its proper divisors (6713619230080).

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

3003200144000 is a wasteful number, since it uses less digits than its factorization.

3003200144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 3003200144000 its reverse (4410023003), we get a palindrome (3007610167003).

The spelling of 3003200144000 in words is "three trillion, three billion, two hundred million, one hundred forty-four thousand".