3223327824 has 160 divisors (see below), whose sum is σ = 9690451200. Its totient is φ = 1023897600.

The previous prime is 3223327817. The next prime is 3223327831. The reversal of 3223327824 is 4287233223.

3223327824 is a `hidden beast` number, since 322 + 3 + 327 + 8 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3223327817) and next prime (3223327831).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3983932 + ... + 3984740.

It is an arithmetic number, because the mean of its divisors is an integer number (60565320).

Almost surely, 2^3223327824 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 3223327824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845225600).

3223327824 is an abundant number, since it is smaller than the sum of its proper divisors (6467123376).

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

3223327824 is a wasteful number, since it uses less digits than its factorization.

3223327824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1238 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 3223327824 is about 56774.3588603165. The cubic root of 3223327824 is about 1477.1847847229.

The spelling of 3223327824 in words is "three billion, two hundred twenty-three million, three hundred twenty-seven thousand, eight hundred twenty-four".