3144404124224 has 336 divisors, whose sum is σ = 7199308505088. Its totient is φ = 1360022400000.

The previous prime is 3144404124217. The next prime is 3144404124353. The reversal of 3144404124224 is 4224214044413.

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 47 ways as a sum of consecutive naturals, for example, 4186955849 + ... + 4186956599.

It is an arithmetic number, because the mean of its divisors is an integer number (21426513408).

Almost surely, 2^{3144404124224} 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 3144404124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599654252544).

3144404124224 is an abundant number, since it is smaller than the sum of its proper divisors (4054904380864).

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

3144404124224 is a wasteful number, since it uses less digits than its factorization.

3144404124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 3144404124224 its reverse (4224214044413), we get a palindrome (7368618168637).

The spelling of 3144404124224 in words is "three trillion, one hundred forty-four billion, four hundred four million, one hundred twenty-four thousand, two hundred twenty-four".