3213200 has 60 divisors (see below), whose sum is σ = 8014740. Its totient is φ = 1236480.

The previous prime is 3213163. The next prime is 3213233. The reversal of 3213200 is 23123.

It can be written as a sum of positive squares in 6 ways, for example, as 295936 + 2917264 = 544^2 + 1708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11462 + ... + 11738.

It is an arithmetic number, because the mean of its divisors is an integer number (133579).

Almost surely, 2^3213200 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 3213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007370).

3213200 is an abundant number, since it is smaller than the sum of its proper divisors (4801540).

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

3213200 is a wasteful number, since it uses less digits than its factorization.

3213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3213200 is about 1792.5400971805. The cubic root of 3213200 is about 147.5636037099.

Adding to 3213200 its reverse (23123), we get a palindrome (3236323).

The spelling of 3213200 in words is "three million, two hundred thirteen thousand, two hundred".