3221200 has 30 divisors (see below), whose sum is σ = 7739894. Its totient is φ = 1288320.

The previous prime is 3221189. The next prime is 3221237. The reversal of 3221200 is 21223.

It can be written as a sum of positive squares in 3 ways, for example, as 478864 + 2742336 = 692^2 + 1656^2 .

It is a super-2 number, since 2×3221200² = 20752258880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3627 + ... + 4426.

Almost surely, 2^3221200 is an apocalyptic number.

It is an amenable number.

3221200 is an abundant number, since it is smaller than the sum of its proper divisors (4518694).

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

3221200 is a wasteful number, since it uses less digits than its factorization.

3221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8071 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3221200 is about 1794.7701802738. The cubic root of 3221200 is about 147.6859667194.

Adding to 3221200 its reverse (21223), we get a palindrome (3242423).

The spelling of 3221200 in words is "three million, two hundred twenty-one thousand, two hundred".