3213144320 has 72 divisors (see below), whose sum is σ = 7961972760. Its totient is φ = 1240924160.

The previous prime is 3213144301. The next prime is 3213144329. The reversal of 3213144320 is 234413123.

It can be written as a sum of positive squares in 4 ways, for example, as 141324544 + 3071819776 = 11888^2 + 55424^2 .

It is a super-2 number, since 2×3213144320² = 20648592842296524800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3213144329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6161 + ... + 80400.

It is an arithmetic number, because the mean of its divisors is an integer number (110582955).

Almost surely, 2^3213144320 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 3213144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980986380).

3213144320 is an abundant number, since it is smaller than the sum of its proper divisors (4748828440).

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

3213144320 is an equidigital number, since it uses as much as digits as its factorization.

3213144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86611 (or 86597 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3213144320 is about 56684.6039061754. The cubic root of 3213144320 is about 1475.6275135201.

Adding to 3213144320 its reverse (234413123), we get a palindrome (3447557443).

The spelling of 3213144320 in words is "three billion, two hundred thirteen million, one hundred forty-four thousand, three hundred twenty".