3223960320 has 576 divisors, whose sum is σ = 12545777664. Its totient is φ = 690094080.

The previous prime is 3223960319. The next prime is 3223960387. The reversal of 3223960320 is 230693223.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 44163804 + ... + 44163876.

It is an arithmetic number, because the mean of its divisors is an integer number (21780864).

Almost surely, 2^3223960320 is an apocalyptic number.

3223960320 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 3223960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272888832).

3223960320 is an abundant number, since it is smaller than the sum of its proper divisors (9321817344).

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

3223960320 is a wasteful number, since it uses less digits than its factorization.

3223960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 3223960320 is about 56779.9288481414. The cubic root of 3223960320 is about 1477.2813983692.

The spelling of 3223960320 in words is "three billion, two hundred twenty-three million, nine hundred sixty thousand, three hundred twenty".