3672200 has 96 divisors (see below), whose sum is σ = 10148160. Its totient is φ = 1209600.

The previous prime is 3672199. The next prime is 3672209. The reversal of 3672200 is 22763.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3672209) 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, 60170 + ... + 60230.

It is an arithmetic number, because the mean of its divisors is an integer number (105710).

Almost surely, 2^3672200 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 3672200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074080).

3672200 is an abundant number, since it is smaller than the sum of its proper divisors (6475960).

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

3672200 is a wasteful number, since it uses less digits than its factorization.

3672200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 3672200 is about 1916.2985153676. The cubic root of 3672200 is about 154.2796963490.

Adding to 3672200 its reverse (22763), we get a palindrome (3694963).

The spelling of 3672200 in words is "three million, six hundred seventy-two thousand, two hundred".