3221213312 has 64 divisors (see below), whose sum is σ = 6871505400. Its totient is φ = 1498742784.

The previous prime is 3221213299. The next prime is 3221213327. The reversal of 3221213312 is 2133121223.

It can be written as a sum of positive squares in 4 ways, for example, as 2162622016 + 1058591296 = 46504^2 + 32536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185348 + ... + 201980.

Almost surely, 2^3221213312 is an apocalyptic number.

3221213312 is a gapful number since it is divisible by the number (32) 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 3221213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435752700).

3221213312 is an abundant number, since it is smaller than the sum of its proper divisors (3650292088).

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

3221213312 is a wasteful number, since it uses less digits than its factorization.

3221213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16753 (or 16741 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 3221213312 is about 56755.7337367776. The cubic root of 3221213312 is about 1476.8617016251.

Adding to 3221213312 its reverse (2133121223), we get a palindrome (5354334535).

The spelling of 3221213312 in words is "three billion, two hundred twenty-one million, two hundred thirteen thousand, three hundred twelve".