3224323144000 has 448 divisors, whose sum is σ = 9454862057472. Its totient is φ = 1065878784000.

The previous prime is 3224323143989. The next prime is 3224323144019. The reversal of 3224323144000 is 4413234223.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3224323144000.

It is a congruent number.

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, 491284719 + ... + 491291281.

Almost surely, 2^{3224323144000} 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 3224323144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727431028736).

3224323144000 is an abundant number, since it is smaller than the sum of its proper divisors (6230538913472).

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

3224323144000 is a wasteful number, since it uses less digits than its factorization.

3224323144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6911 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 3224323144000 its reverse (4413234223), we get a palindrome (3228736378223).

The spelling of 3224323144000 in words is "three trillion, two hundred twenty-four billion, three hundred twenty-three million, one hundred forty-four thousand".