3687872 has 28 divisors (see below), whose sum is σ = 7574280. Its totient is φ = 1779456.

The previous prime is 3687869. The next prime is 3687911. The reversal of 3687872 is 2787863.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 863 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (270510).

Almost surely, 2^3687872 is an apocalyptic number.

3687872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3687872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787140).

3687872 is an abundant number, since it is smaller than the sum of its proper divisors (3886408).

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

3687872 is a wasteful number, since it uses less digits than its factorization.

3687872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2018 counting only the distinct ones).

The product of its digits is 112896, while the sum is 41.

The square root of 3687872 is about 1920.3832950742. The cubic root of 3687872 is about 154.4988601488.

Subtracting from 3687872 its reverse (2787863), we obtain a palindrome (900009).

The spelling of 3687872 in words is "three million, six hundred eighty-seven thousand, eight hundred seventy-two".