3657132 has 72 divisors (see below), whose sum is σ = 9959040. Its totient is φ = 1128960.

The previous prime is 3657131. The next prime is 3657151. The reversal of 3657132 is 2317563.

It is a happy number.

3657132 is a `hidden beast` number, since 3 + 657 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×3657132² = 26749228930848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3657096 and 3657105.

It is not an unprimeable number, because it can be changed into a prime (3657131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32308 + ... + 32420.

It is an arithmetic number, because the mean of its divisors is an integer number (138320).

Almost surely, 2^3657132 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 3657132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979520).

3657132 is an abundant number, since it is smaller than the sum of its proper divisors (6301908).

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

3657132 is a wasteful number, since it uses less digits than its factorization.

3657132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 178 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 3657132 is about 1912.3629362650. The cubic root of 3657132 is about 154.0683903805.

The spelling of 3657132 in words is "three million, six hundred fifty-seven thousand, one hundred thirty-two".