3221356864 has 84 divisors (see below), whose sum is σ = 7048816992. Its totient is φ = 1459575040.

The previous prime is 3221356799. The next prime is 3221356867. The reversal of 3221356864 is 4686531223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221356867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3894819 + ... + 3895645.

It is an arithmetic number, because the mean of its divisors is an integer number (83914488).

Almost surely, 2^3221356864 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 3221356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524408496).

3221356864 is an abundant number, since it is smaller than the sum of its proper divisors (3827460128).

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

3221356864 is a wasteful number, since it uses less digits than its factorization.

3221356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1343 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 3221356864 is about 56756.9983702451. The cubic root of 3221356864 is about 1476.8836398702.

The spelling of 3221356864 in words is "three billion, two hundred twenty-one million, three hundred fifty-six thousand, eight hundred sixty-four".