3687936 has 100 divisors (see below), whose sum is σ = 11461692. Its totient is φ = 1053696.

The previous prime is 3687923. The next prime is 3687941. The reversal of 3687936 is 6397863.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (163296) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 526845 + ... + 526851.

Almost surely, 2^3687936 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 3687936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730846).

3687936 is an abundant number, since it is smaller than the sum of its proper divisors (7773756).

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

3687936 is an frugal number, since it uses more digits than its factorization.

3687936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 12 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 3687936 is about 1920.3999583420. The cubic root of 3687936 is about 154.4997538773.

The spelling of 3687936 in words is "three million, six hundred eighty-seven thousand, nine hundred thirty-six".