3684200 has 72 divisors (see below), whose sum is σ = 9360450. Its totient is φ = 1347840.

The previous prime is 3684193. The next prime is 3684203. The reversal of 3684200 is 24863.

It is a happy number.

3684200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 5476 + 3678724 = 74^2 + 1918^2 .

It is not an unprimeable number, because it can be changed into a prime (3684203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33746 + ... + 33854.

Almost surely, 2^3684200 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 3684200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680225).

3684200 is an abundant number, since it is smaller than the sum of its proper divisors (5676250).

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

3684200 is a wasteful number, since it uses less digits than its factorization.

3684200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3684200 is about 1919.4269978303. The cubic root of 3684200 is about 154.4475651462.

The spelling of 3684200 in words is "three million, six hundred eighty-four thousand, two hundred".