3204144440224 has 96 divisors (see below), whose sum is σ = 7773282308736. Its totient is φ = 1266039936000.

The previous prime is 3204144440207. The next prime is 3204144440339. The reversal of 3204144440224 is 4220444414023.

It is a self number, because there is not a number n which added to its sum of digits gives 3204144440224.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1742974 + ... + 3073474.

It is an arithmetic number, because the mean of its divisors is an integer number (80971690716).

Almost surely, 2^{3204144440224} 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 3204144440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886641154368).

3204144440224 is an abundant number, since it is smaller than the sum of its proper divisors (4569137868512).

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

3204144440224 is a wasteful number, since it uses less digits than its factorization.

3204144440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331358 (or 1331350 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 3204144440224 its reverse (4220444414023), we get a palindrome (7424588854247).

The spelling of 3204144440224 in words is "three trillion, two hundred four billion, one hundred forty-four million, four hundred forty thousand, two hundred twenty-four".