3686800 has 60 divisors (see below), whose sum is σ = 9552340. Its totient is φ = 1359360.

The previous prime is 3686797. The next prime is 3686801. The reversal of 3686800 is 86863.

It can be written as a sum of positive squares in 6 ways, for example, as 984064 + 2702736 = 992^2 + 1644^2 .

It is not an unprimeable number, because it can be changed into a prime (3686801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4846 + ... + 5554.

Almost surely, 2^3686800 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 3686800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776170).

3686800 is an abundant number, since it is smaller than the sum of its proper divisors (5865540).

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

3686800 is a wasteful number, since it uses less digits than its factorization.

3686800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 3686800 is about 1920.1041638411. The cubic root of 3686800 is about 154.4838886577.

The spelling of 3686800 in words is "three million, six hundred eighty-six thousand, eight hundred".