3681680 has 20 divisors (see below), whose sum is σ = 8560092. Its totient is φ = 1472640.

The previous prime is 3681619. The next prime is 3681683. The reversal of 3681680 is 861863.

It can be written as a sum of positive squares in 2 ways, for example, as 2729104 + 952576 = 1652^2 + 976^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (3681683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22931 + ... + 23090.

Almost surely, 2^3681680 is an apocalyptic number.

It is an amenable number.

3681680 is an abundant number, since it is smaller than the sum of its proper divisors (4878412).

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

3681680 is a wasteful number, since it uses less digits than its factorization.

3681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46034 (or 46028 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 3681680 is about 1918.7704396305. The cubic root of 3681680 is about 154.4123429688.

It can be divided in two parts, 368 and 1680, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 3681680 in words is "three million, six hundred eighty-one thousand, six hundred eighty".