3686736 has 40 divisors (see below), whose sum is σ = 9642240. Its totient is φ = 1213696.

The previous prime is 3686731. The next prime is 3686743. The reversal of 3686736 is 6376863.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3686694 and 3686703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686731) 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 7 ways as a sum of consecutive naturals, for example, 3841 + ... + 4703.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 2^3686736 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 3686736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120).

3686736 is an abundant number, since it is smaller than the sum of its proper divisors (5955504).

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

3686736 is a wasteful number, since it uses less digits than its factorization.

3686736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 957 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 3686736 is about 1920.0874980063. The cubic root of 3686736 is about 154.4829947455.

The spelling of 3686736 in words is "three million, six hundred eighty-six thousand, seven hundred thirty-six".