3213221000 has 128 divisors (see below), whose sum is σ = 8685480960. Its totient is φ = 1099648000.

The previous prime is 3213220973. The next prime is 3213221009. The reversal of 3213221000 is 1223123.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3213221009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178409 + ... + 195591.

It is an arithmetic number, because the mean of its divisors is an integer number (67855320).

Almost surely, 2^3213221000 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 3213221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342740480).

3213221000 is an abundant number, since it is smaller than the sum of its proper divisors (5472259960).

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

3213221000 is a wasteful number, since it uses less digits than its factorization.

3213221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17232 (or 17218 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3213221000 is about 56685.2802762763. The cubic root of 3213221000 is about 1475.6392517850.

Adding to 3213221000 its reverse (1223123), we get a palindrome (3214444123).

The spelling of 3213221000 in words is "three billion, two hundred thirteen million, two hundred twenty-one thousand".