3687360 has 112 divisors (see below), whose sum is σ = 12289536. Its totient is φ = 934912.

The previous prime is 3687319. The next prime is 3687373. The reversal of 3687360 is 637863.

It is a happy number.

It is a congruent number.

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, 21997 + ... + 22163.

It is an arithmetic number, because the mean of its divisors is an integer number (109728).

Almost surely, 2^3687360 is an apocalyptic number.

3687360 is a gapful number since it is divisible by the number (30) 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 3687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768).

3687360 is an abundant number, since it is smaller than the sum of its proper divisors (8602176).

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

3687360 is a wasteful number, since it uses less digits than its factorization.

3687360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3687360 is about 1920.2499837261. The cubic root of 3687360 is about 154.4917099478.

The spelling of 3687360 in words is "three million, six hundred eighty-seven thousand, three hundred sixty".