3686368 has 36 divisors (see below), whose sum is σ = 8446032. Its totient is φ = 1579200.

The previous prime is 3686357. The next prime is 3686369. The reversal of 3686368 is 8636863.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3686368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 393 + ... + 2743.

It is an arithmetic number, because the mean of its divisors is an integer number (234612).

Almost surely, 2^3686368 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 3686368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223016).

3686368 is an abundant number, since it is smaller than the sum of its proper divisors (4759664).

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

3686368 is a wasteful number, since it uses less digits than its factorization.

3686368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2360 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 3686368 is about 1919.9916666486. The cubic root of 3686368 is about 154.4778545498.

The spelling of 3686368 in words is "three million, six hundred eighty-six thousand, three hundred sixty-eight".