3687320 has 64 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 1165824.

The previous prime is 3687319. The next prime is 3687373. The reversal of 3687320 is 237863.

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, 3134 + ... + 4146.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

Almost surely, 2^3687320 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 3687320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

3687320 is an abundant number, since it is smaller than the sum of its proper divisors (6533800).

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

3687320 is a wasteful number, since it uses less digits than its factorization.

3687320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 3687320 is about 1920.2395683872. The cubic root of 3687320 is about 154.4911513105.

The spelling of 3687320 in words is "three million, six hundred eighty-seven thousand, three hundred twenty".