3680900 has 18 divisors (see below), whose sum is σ = 7987770. Its totient is φ = 1472320.

The previous prime is 3680893. The next prime is 3680917. The reversal of 3680900 is 90863.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 123904 + 3556996 = 352^2 + 1886^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3680900.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18305 + ... + 18504.

It is an arithmetic number, because the mean of its divisors is an integer number (443765).

Almost surely, 2^3680900 is an apocalyptic number.

It is an amenable number.

3680900 is an abundant number, since it is smaller than the sum of its proper divisors (4306870).

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

3680900 is a wasteful number, since it uses less digits than its factorization.

3680900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36823 (or 36816 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 3680900 is about 1918.5671737002. The cubic root of 3680900 is about 154.4014376091.

The spelling of 3680900 in words is "three million, six hundred eighty thousand, nine hundred".