3688200 has 96 divisors (see below), whose sum is σ = 12722400. Its totient is φ = 982080.

The previous prime is 3688199. The next prime is 3688219. The reversal of 3688200 is 28863.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5059 + ... + 5741.

It is an arithmetic number, because the mean of its divisors is an integer number (132525).

Almost surely, 2^3688200 is an apocalyptic number.

3688200 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 3688200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361200).

3688200 is an abundant number, since it is smaller than the sum of its proper divisors (9034200).

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

3688200 is a wasteful number, since it uses less digits than its factorization.

3688200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3688200 is about 1920.4686927935. The cubic root of 3688200 is about 154.5034403985.

The spelling of 3688200 in words is "three million, six hundred eighty-eight thousand, two hundred".