3224252304000 has 2304 divisors, whose sum is σ = 14881419221760. Its totient is φ = 679311360000.

The previous prime is 3224252303971. The next prime is 3224252304011. The reversal of 3224252304000 is 4032524223.

It is a happy number.

3224252304000 is a `hidden beast` number, since 3 + 2 + 2 + 4 + 25 + 230 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4599503650 + ... + 4599504350.

It is an arithmetic number, because the mean of its divisors is an integer number (6458949315).

Almost surely, 2^{3224252304000} is an apocalyptic number.

3224252304000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3224252304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440709610880).

3224252304000 is an abundant number, since it is smaller than the sum of its proper divisors (11657166917760).

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

3224252304000 is an equidigital number, since it uses as much as digits as its factorization.

3224252304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 3224252304000 its reverse (4032524223), we get a palindrome (3228284828223).

The spelling of 3224252304000 in words is "three trillion, two hundred twenty-four billion, two hundred fifty-two million, three hundred four thousand".