3632200 has 96 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 1209600.

The previous prime is 3632191. The next prime is 3632201. The reversal of 3632200 is 22363.

3632200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3632201) 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 23 ways as a sum of consecutive naturals, for example, 28537 + ... + 28663.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 2^3632200 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 3632200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

3632200 is an abundant number, since it is smaller than the sum of its proper divisors (6367160).

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

3632200 is a wasteful number, since it uses less digits than its factorization.

3632200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3632200 is about 1905.8331511441. The cubic root of 3632200 is about 153.7174783044.

Adding to 3632200 its reverse (22363), we get a palindrome (3654563).

The spelling of 3632200 in words is "three million, six hundred thirty-two thousand, two hundred".