3223200 has 144 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 798720.

The previous prime is 3223189. The next prime is 3223201. The reversal of 3223200 is 23223.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3223201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40761 + ... + 40839.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

Almost surely, 2^3223200 is an apocalyptic number.

3223200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3223200 is the 960-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

3223200 is an abundant number, since it is smaller than the sum of its proper divisors (8026080).

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

3223200 is a wasteful number, since it uses less digits than its factorization.

3223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3223200 is about 1795.3272682160. The cubic root of 3223200 is about 147.7165258096.

Adding to 3223200 its reverse (23223), we get a palindrome (3246423).

It can be divided in two parts, 32 and 23200, that added together give a palindrome (23232).

The spelling of 3223200 in words is "three million, two hundred twenty-three thousand, two hundred".