3657160 has 48 divisors (see below), whose sum is σ = 8926740. Its totient is φ = 1347840.

The previous prime is 3657151. The next prime is 3657167. The reversal of 3657160 is 617563.

3657160 is a nontrivial binomial coefficient, being equal to C(2705, 2).

It can be written as a sum of positive squares in 6 ways, for example, as 264196 + 3392964 = 514^2 + 1842^2 .

It is not an unprimeable number, because it can be changed into a prime (3657167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6490 + ... + 7030.

Almost surely, 2^3657160 is an apocalyptic number.

3657160 is the 2704-th triangular number.

3657160 is the 902-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3657160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463370).

3657160 is an abundant number, since it is smaller than the sum of its proper divisors (5269580).

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

3657160 is a wasteful number, since it uses less digits than its factorization.

3657160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 3657160 is about 1912.3702570371. The cubic root of 3657160 is about 154.0687835761.

The spelling of 3657160 in words is "three million, six hundred fifty-seven thousand, one hundred sixty".