3211220321 has 8 divisors (see below), whose sum is σ = 3411885960. Its totient is φ = 3022320384.

The previous prime is 3211220297. The next prime is 3211220323. The reversal of 3211220321 is 1230221123.

It can be written as a sum of positive squares in 4 ways, for example, as 234426721 + 2976793600 = 15311^2 + 54560^2 .

It is not a de Polignac number, because 3211220321 - 2¹⁴ = 3211203937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3211220321.

It is not an unprimeable number, because it can be changed into a prime (3211220323) by changing a digit.

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, 321896 + ... + 331721.

It is an arithmetic number, because the mean of its divisors is an integer number (426485745).

Almost surely, 2^3211220321 is an apocalyptic number.

It is an amenable number.

3211220321 is a deficient number, since it is larger than the sum of its proper divisors (200665639).

3211220321 is an frugal number, since it uses more digits than its factorization.

3211220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653668 (or 653634 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3211220321 is about 56667.6302751403. The cubic root of 3211220321 is about 1475.3329243324.

Adding to 3211220321 its reverse (1230221123), we get a palindrome (4441441444).

The spelling of 3211220321 in words is "three billion, two hundred eleven million, two hundred twenty thousand, three hundred twenty-one".