3003241344400 has 90 divisors (see below), whose sum is σ = 7930853143346. Its totient is φ = 1092087744000.

The previous prime is 3003241344391. The next prime is 3003241344473. The reversal of 3003241344400 is 44431423003.

3003241344400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 653814553744 + 2349426790656 = 808588^2 + 1532784^2 .

It is a super-2 number, since 2×3003241344400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30976821 + ... + 31073620.

Almost surely, 2^{3003241344400} is an apocalyptic number.

It is an amenable number.

3003241344400 is an abundant number, since it is smaller than the sum of its proper divisors (4927611798946).

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

3003241344400 is a wasteful number, since it uses less digits than its factorization.

3003241344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62050481 (or 62050459 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 3003241344400 its reverse (44431423003), we get a palindrome (3047672767403).

The spelling of 3003241344400 in words is "three trillion, three billion, two hundred forty-one million, three hundred forty-four thousand, four hundred".