3686436 has 36 divisors (see below), whose sum is σ = 10036572. Its totient is φ = 1134144.

The previous prime is 3686411. The next prime is 3686447. The reversal of 3686436 is 6346863.

3686436 is a `hidden beast` number, since 3 + 6 + 8 + 643 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 3132900 = 744^2 + 1770^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3686436.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3471 + ... + 4406.

Almost surely, 2^3686436 is an apocalyptic number.

3686436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3686436 is an abundant number, since it is smaller than the sum of its proper divisors (6350136).

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

3686436 is a wasteful number, since it uses less digits than its factorization.

3686436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 7895 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3686436 is about 1920.0093749771. The cubic root of 3686436 is about 154.4788043943.

Subtracting from 3686436 its sum of digits (36), we obtain a square (3686400 = 1920²).

It can be divided in two parts, 36864 and 36, that multiplied together give a square (1327104 = 1152²).

The spelling of 3686436 in words is "three million, six hundred eighty-six thousand, four hundred thirty-six".