3224432344224 has 384 divisors, whose sum is σ = 10513105827840. Its totient is φ = 842617810944.

The previous prime is 3224432344219. The next prime is 3224432344261. The reversal of 3224432344224 is 4224432344223.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 519815107 + ... + 519821309.

It is an arithmetic number, because the mean of its divisors is an integer number (27377879760).

Almost surely, 2^{3224432344224} 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 3224432344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256552913920).

3224432344224 is an abundant number, since it is smaller than the sum of its proper divisors (7288673483616).

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

3224432344224 is a wasteful number, since it uses less digits than its factorization.

3224432344224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 6764 counting only the distinct ones).

The product of its digits is 884736, while the sum is 39.

Adding to 3224432344224 its reverse (4224432344223), we get a palindrome (7448864688447).

Subtracting 3224432344224 from its reverse (4224432344223), we obtain a palindrome (999999999999).

The spelling of 3224432344224 in words is "three trillion, two hundred twenty-four billion, four hundred thirty-two million, three hundred forty-four thousand, two hundred twenty-four".