3685680 has 60 divisors (see below), whose sum is σ = 12380160. Its totient is φ = 982656.

The previous prime is 3685663. The next prime is 3685687. The reversal of 3685680 is 865863.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3685687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1840 + ... + 3279.

It is an arithmetic number, because the mean of its divisors is an integer number (206336).

Almost surely, 2^3685680 is an apocalyptic number.

3685680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3685680 is an abundant number, since it is smaller than the sum of its proper divisors (8694480).

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

3685680 is a wasteful number, since it uses less digits than its factorization.

3685680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3685680 is about 1919.8124908438. The cubic root of 3685680 is about 154.4682437010.

The spelling of 3685680 in words is "three million, six hundred eighty-five thousand, six hundred eighty".