3689680 has 40 divisors (see below), whose sum is σ = 9086472. Its totient is φ = 1388544.

The previous prime is 3689669. The next prime is 3689689. The reversal of 3689680 is 869863.

It can be written as a sum of positive squares in 4 ways, for example, as 1915456 + 1774224 = 1384^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3689680² = 27227477004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689689) 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, 4 + ... + 2716.

Almost surely, 2^3689680 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 3689680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543236).

3689680 is an abundant number, since it is smaller than the sum of its proper divisors (5396792).

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

3689680 is a wasteful number, since it uses less digits than its factorization.

3689680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 3689680 is about 1920.8539767510. The cubic root of 3689680 is about 154.5241040024.

The spelling of 3689680 in words is "three million, six hundred eighty-nine thousand, six hundred eighty".