3666960 has 120 divisors (see below), whose sum is σ = 13463424. Its totient is φ = 887040.

The previous prime is 3666947. The next prime is 3666961. The reversal of 3666960 is 696663.

3666960 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3666961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7689 + ... + 8151.

Almost surely, 2^3666960 is an apocalyptic number.

3666960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3666960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6731712).

3666960 is an abundant number, since it is smaller than the sum of its proper divisors (9796464).

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

3666960 is a wasteful number, since it uses less digits than its factorization.

3666960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3666960 is about 1914.9308081495. The cubic root of 3666960 is about 154.2062789209.

The spelling of 3666960 in words is "three million, six hundred sixty-six thousand, nine hundred sixty".