3227200 has 42 divisors (see below), whose sum is σ = 7944866. Its totient is φ = 1290240.

The previous prime is 3227171. The next prime is 3227201. The reversal of 3227200 is 27223.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 589824 + 2637376 = 768^2 + 1624^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3227201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 592 + ... + 2608.

Almost surely, 2^3227200 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 3227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972433).

3227200 is an abundant number, since it is smaller than the sum of its proper divisors (4717666).

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

3227200 is a wasteful number, since it uses less digits than its factorization.

3227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 3227200 is about 1796.4409258308. The cubic root of 3227200 is about 147.7776060869. Note that the first 3 decimals are identical.

The spelling of 3227200 in words is "three million, two hundred twenty-seven thousand, two hundred".