3004544200400 has 60 divisors (see below), whose sum is σ = 7299523341900. Its totient is φ = 1188314096640.

The previous prime is 3004544200331. The next prime is 3004544200417. The reversal of 3004544200400 is 40024454003.

3004544200400 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 6 ways, for example, as 804400909456 + 2200143290944 = 896884^2 + 1483288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3004544200400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42163055 + ... + 42234254.

It is an arithmetic number, because the mean of its divisors is an integer number (121658722365).

Almost surely, 2^{3004544200400} is an apocalyptic number.

It is an amenable number.

3004544200400 is an abundant number, since it is smaller than the sum of its proper divisors (4294979141500).

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

3004544200400 is a wasteful number, since it uses less digits than its factorization.

3004544200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84397416 (or 84397405 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 3004544200400 its reverse (40024454003), we get a palindrome (3044568654403).

The spelling of 3004544200400 in words is "three trillion, four billion, five hundred forty-four million, two hundred thousand, four hundred".