3660 has 24 divisors (see below), whose sum is σ = 10416. Its totient is φ = 960.

The previous prime is 3659. The next prime is 3671. The reversal of 3660 is 663.

3660 = 16² + 17² + ... + 24².

3660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

3660 is an undulating number in base 11.

It is a plaindrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 90.

It is an arithmetic number, because the mean of its divisors is an integer number (434).

3660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 60×61.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208).

3660 is an abundant number, since it is smaller than the sum of its proper divisors (6756).

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

3660 is a wasteful number, since it uses less digits than its factorization.

3660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3660 is about 60.4979338490. The cubic root of 3660 is about 15.4108654417.

The spelling of 3660 in words is "three thousand, six hundred sixty".