3660440 has 64 divisors (see below), whose sum is σ = 9979200. Its totient is φ = 1179648.

The previous prime is 3660413. The next prime is 3660443. The reversal of 3660440 is 440663.

3660440 = 456² + 457² + ... + 472².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3660443) 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 15 ways as a sum of consecutive naturals, for example, 4376 + ... + 5144.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

Almost surely, 2^3660440 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 3660440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989600).

3660440 is an abundant number, since it is smaller than the sum of its proper divisors (6318760).

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

3660440 is a wasteful number, since it uses less digits than its factorization.

3660440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3660440 is about 1913.2276393571. The cubic root of 3660440 is about 154.1148297438.

The spelling of 3660440 in words is "three million, six hundred sixty thousand, four hundred forty".