3226200 has 96 divisors (see below), whose sum is σ = 10564800. Its totient is φ = 812160.

The previous prime is 3226189. The next prime is 3226207. The reversal of 3226200 is 26223.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3226200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3226207) 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, 11259 + ... + 11541.

It is an arithmetic number, because the mean of its divisors is an integer number (110050).

Almost surely, 2^3226200 is an apocalyptic number.

3226200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3226200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282400).

3226200 is an abundant number, since it is smaller than the sum of its proper divisors (7338600).

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

3226200 is a wasteful number, since it uses less digits than its factorization.

3226200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3226200 is about 1796.1625761606. The cubic root of 3226200 is about 147.7623407513.

The spelling of 3226200 in words is "three million, two hundred twenty-six thousand, two hundred".