3686000 has 80 divisors (see below), whose sum is σ = 9478560. Its totient is φ = 1382400.

The previous prime is 3685999. The next prime is 3686009. The reversal of 3686000 is 6863.

3686000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37952 + ... + 38048.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

Almost surely, 2^3686000 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 3686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739280).

3686000 is an abundant number, since it is smaller than the sum of its proper divisors (5792560).

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

3686000 is a wasteful number, since it uses less digits than its factorization.

3686000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3686000 is about 1919.8958305075. The cubic root of 3686000 is about 154.4727140120.

The spelling of 3686000 in words is "three million, six hundred eighty-six thousand".