3681636 has 48 divisors (see below), whose sum is σ = 10066560. Its totient is φ = 1025280.

The previous prime is 3681619. The next prime is 3681683. The reversal of 3681636 is 6361863.

It is a hoax number, since the sum of its digits (33) 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 = 3681597 and 3681606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2910 + ... + 3978.

It is an arithmetic number, because the mean of its divisors is an integer number (209720).

Almost surely, 2^3681636 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 3681636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033280).

3681636 is an abundant number, since it is smaller than the sum of its proper divisors (6384924).

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

3681636 is a wasteful number, since it uses less digits than its factorization.

3681636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1122 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 3681636 is about 1918.7589739204. The cubic root of 3681636 is about 154.4117278357.

The spelling of 3681636 in words is "three million, six hundred eighty-one thousand, six hundred thirty-six".