3663200 has 72 divisors (see below), whose sum is σ = 9452520. Its totient is φ = 1382400.

The previous prime is 3663199. The next prime is 3663203. The reversal of 3663200 is 23663.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15080 + ... + 15320.

It is an arithmetic number, because the mean of its divisors is an integer number (131285).

Almost surely, 2^3663200 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 3663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726260).

3663200 is an abundant number, since it is smaller than the sum of its proper divisors (5789320).

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

3663200 is a wasteful number, since it uses less digits than its factorization.

3663200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3663200 is about 1913.9487976432. The cubic root of 3663200 is about 154.1535546027.

Adding to 3663200 its reverse (23663), we get a palindrome (3686863).

It can be divided in two parts, 36 and 63200, that added together give a palindrome (63236).

The spelling of 3663200 in words is "three million, six hundred sixty-three thousand, two hundred".