3004524442400 has 288 divisors, whose sum is σ = 8021502997200. Its totient is φ = 1092265574400.

The previous prime is 3004524442379. The next prime is 3004524442427. The reversal of 3004524442400 is 42444254003.

3004524442400 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 24 ways, for example, as 267127720336 + 2737396722064 = 516844^2 + 1654508^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223062866 + ... + 223076334.

Almost surely, 2^{3004524442400} 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 3004524442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010751498600).

3004524442400 is an abundant number, since it is smaller than the sum of its proper divisors (5016978554800).

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

3004524442400 is a wasteful number, since it uses less digits than its factorization.

3004524442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13832 (or 13819 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 3004524442400 its reverse (42444254003), we get a palindrome (3046968696403).

The spelling of 3004524442400 in words is "three trillion, four billion, five hundred twenty-four million, four hundred forty-two thousand, four hundred".