3221800 has 48 divisors (see below), whose sum is σ = 7616700. Its totient is φ = 1267200.

The previous prime is 3221791. The next prime is 3221807. The reversal of 3221800 is 81223.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 60516 + 3161284 = 246^2 + 1778^2 .

It is not an unprimeable number, because it can be changed into a prime (3221807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17710 + ... + 17890.

Almost surely, 2^3221800 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 3221800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808350).

3221800 is an abundant number, since it is smaller than the sum of its proper divisors (4394900).

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

3221800 is a wasteful number, since it uses less digits than its factorization.

3221800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3221800 is about 1794.9373248111. The cubic root of 3221800 is about 147.6951357743.

The spelling of 3221800 in words is "three million, two hundred twenty-one thousand, eight hundred".