3222305664 has 128 divisors (see below), whose sum is σ = 9355668480. Its totient is φ = 978247680.

The previous prime is 3222305659. The next prime is 3222305699. The reversal of 3222305664 is 4665032223.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194407 + ... + 210329.

It is an arithmetic number, because the mean of its divisors is an integer number (73091160).

Almost surely, 2^3222305664 is an apocalyptic number.

3222305664 is a gapful number since it is divisible by the number (34) 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 3222305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677834240).

3222305664 is an abundant number, since it is smaller than the sum of its proper divisors (6133362816).

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

3222305664 is a wasteful number, since it uses less digits than its factorization.

3222305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15988 (or 15976 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 3222305664 is about 56765.3561954825. The cubic root of 3222305664 is about 1477.0286232530.

Adding to 3222305664 its reverse (4665032223), we get a palindrome (7887337887).

The spelling of 3222305664 in words is "three billion, two hundred twenty-two million, three hundred five thousand, six hundred sixty-four".