3657680 has 40 divisors (see below), whose sum is σ = 9160872. Its totient is φ = 1350144.

The previous prime is 3657679. The next prime is 3657691. The reversal of 3657680 is 867563.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 602176 + 3055504 = 776^2 + 1748^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3657680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 719 + ... + 2798.

Almost surely, 2^3657680 is an apocalyptic number.

It is an amenable number.

3657680 is an abundant number, since it is smaller than the sum of its proper divisors (5503192).

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

3657680 is a wasteful number, since it uses less digits than its factorization.

3657680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 3657680 is about 1912.5062091402. The cubic root of 3657680 is about 154.0760854142.

The spelling of 3657680 in words is "three million, six hundred fifty-seven thousand, six hundred eighty".