3224256000 has 320 divisors, whose sum is σ = 12256358400. Its totient is φ = 736665600.

The previous prime is 3224255987. The next prime is 3224256001. The reversal of 3224256000 is 6524223.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224256001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1342801 + ... + 1345199.

It is an arithmetic number, because the mean of its divisors is an integer number (38301120).

Almost surely, 2^3224256000 is an apocalyptic number.

3224256000 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 3224256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128179200).

3224256000 is an abundant number, since it is smaller than the sum of its proper divisors (9032102400).

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

3224256000 is an equidigital number, since it uses as much as digits as its factorization.

3224256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3224256000 is about 56782.5325254167. The cubic root of 3224256000 is about 1477.3265590998.

The spelling of 3224256000 in words is "three billion, two hundred twenty-four million, two hundred fifty-six thousand".