3686720 has 56 divisors (see below), whose sum is σ = 9025128. Its totient is φ = 1433600.

The previous prime is 3686713. The next prime is 3686723. The reversal of 3686720 is 276863.

It can be written as a sum of positive squares in 4 ways, for example, as 61504 + 3625216 = 248^2 + 1904^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12980 + ... + 13260.

It is an arithmetic number, because the mean of its divisors is an integer number (161163).

Almost surely, 2^3686720 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 3686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512564).

3686720 is an abundant number, since it is smaller than the sum of its proper divisors (5338408).

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

3686720 is a wasteful number, since it uses less digits than its factorization.

3686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 3686720 is about 1920.0833315250. The cubic root of 3686720 is about 154.4827712658.

The spelling of 3686720 in words is "three million, six hundred eighty-six thousand, seven hundred twenty".