3660120 has 64 divisors (see below), whose sum is σ = 12204000. Its totient is φ = 975744.

The previous prime is 3660109. The next prime is 3660131. The reversal of 3660120 is 210663.

It is a happy number.

3660120 is a `hidden beast` number, since 3 + 660 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3660109) and next prime (3660131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3660093 and 3660102.

It is a congruent number.

It is an unprimeable number.

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, 615 + ... + 2774.

Almost surely, 2^3660120 is an apocalyptic number.

3660120 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 3660120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102000).

3660120 is an abundant number, since it is smaller than the sum of its proper divisors (8543880).

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

3660120 is a wasteful number, since it uses less digits than its factorization.

3660120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3660120 is about 1913.1440092162. The cubic root of 3660120 is about 154.1103386460.

Adding to 3660120 its reverse (210663), we get a palindrome (3870783).

The spelling of 3660120 in words is "three million, six hundred sixty thousand, one hundred twenty".