3683680 has 192 divisors, whose sum is σ = 12192768. Its totient is φ = 1013760.

The previous prime is 3683677. The next prime is 3683717. The reversal of 3683680 is 863863.

3683680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160149 + ... + 160171.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

Almost surely, 2^3683680 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 3683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

3683680 is an abundant number, since it is smaller than the sum of its proper divisors (8509088).

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

3683680 is a wasteful number, since it uses less digits than its factorization.

3683680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3683680 is about 1919.2915359580. The cubic root of 3683680 is about 154.4402983933.

The spelling of 3683680 in words is "three million, six hundred eighty-three thousand, six hundred eighty".