3663900 has 144 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 918720.

The previous prime is 3663899. The next prime is 3663911. The reversal of 3663900 is 93663.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62071 + ... + 62129.

It is an arithmetic number, because the mean of its divisors is an integer number (86800).

Almost surely, 2^3663900 is an apocalyptic number.

3663900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3663900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

3663900 is an abundant number, since it is smaller than the sum of its proper divisors (8835300).

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

3663900 is a wasteful number, since it uses less digits than its factorization.

3663900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3663900 is about 1914.1316569139. The cubic root of 3663900 is about 154.1633730325.

It can be divided in two parts, 36 and 63900, that added together give a palindrome (63936).

The spelling of 3663900 in words is "three million, six hundred sixty-three thousand, nine hundred".