3657640 has 32 divisors (see below), whose sum is σ = 9406080. Its totient is φ = 1253952.

The previous prime is 3657637. The next prime is 3657649. The reversal of 3657640 is 467563.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3657649) 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, 6252 + ... + 6811.

It is an arithmetic number, because the mean of its divisors is an integer number (293940).

Almost surely, 2^3657640 is an apocalyptic number.

It is an amenable number.

3657640 is an abundant number, since it is smaller than the sum of its proper divisors (5748440).

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

3657640 is a wasteful number, since it uses less digits than its factorization.

3657640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13081 (or 13077 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 3657640 is about 1912.4957516293. The cubic root of 3657640 is about 154.0755237589.

The spelling of 3657640 in words is "three million, six hundred fifty-seven thousand, six hundred forty".