3657040 has 40 divisors (see below), whose sum is σ = 9006120. Its totient is φ = 1376256.

The previous prime is 3657037. The next prime is 3657041. The reversal of 3657040 is 407563.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 3549456 = 328^2 + 1884^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3656996 and 3657014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3657041) 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, 16 + ... + 2704.

It is an arithmetic number, because the mean of its divisors is an integer number (225153).

Almost surely, 2^3657040 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 3657040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503060).

3657040 is an abundant number, since it is smaller than the sum of its proper divisors (5349080).

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

3657040 is a wasteful number, since it uses less digits than its factorization.

3657040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 3657040 is about 1912.3388821022. The cubic root of 3657040 is about 154.0670984382.

The spelling of 3657040 in words is "three million, six hundred fifty-seven thousand, forty".