3680080 has 40 divisors (see below), whose sum is σ = 8640072. Its totient is φ = 1457664.

The previous prime is 3680059. The next prime is 3680081. The reversal of 3680080 is 800863.

It can be written as a sum of positive squares in 4 ways, for example, as 817216 + 2862864 = 904^2 + 1692^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680081) 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, 12414 + ... + 12706.

Almost surely, 2^3680080 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 3680080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320036).

3680080 is an abundant number, since it is smaller than the sum of its proper divisors (4959992).

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

3680080 is a wasteful number, since it uses less digits than its factorization.

3680080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 3680080 is about 1918.3534606532. The cubic root of 3680080 is about 154.3899713389.

The spelling of 3680080 in words is "three million, six hundred eighty thousand, eighty".