3666560 has 64 divisors (see below), whose sum is σ = 9308520. Its totient is φ = 1376256.

The previous prime is 3666539. The next prime is 3666581. The reversal of 3666560 is 656663.

3666560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3666539) and next prime (3666581).

It can be written as a sum of positive squares in 4 ways, for example, as 3013696 + 652864 = 1736^2 + 808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10712 + ... + 11048.

Almost surely, 2^3666560 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 3666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654260).

3666560 is an abundant number, since it is smaller than the sum of its proper divisors (5641960).

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

3666560 is a wasteful number, since it uses less digits than its factorization.

3666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 3666560 is about 1914.8263628852. The cubic root of 3666560 is about 154.2006716645.

The spelling of 3666560 in words is "three million, six hundred sixty-six thousand, five hundred sixty".