3688916 has 72 divisors (see below), whose sum is σ = 8618400. Its totient is φ = 1364160.

The previous prime is 3688903. The next prime is 3688933. The reversal of 3688916 is 6198863.

It is a happy number.

Its product of digits (62208) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62495 + ... + 62553.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 2^3688916 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 3688916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309200).

3688916 is an abundant number, since it is smaller than the sum of its proper divisors (4929484).

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

3688916 is a wasteful number, since it uses less digits than its factorization.

3688916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 3688916 is about 1920.6550965751. The cubic root of 3688916 is about 154.5134378051.

The spelling of 3688916 in words is "three million, six hundred eighty-eight thousand, nine hundred sixteen".