3660

3660 is a natural number that follows 3659 and precedes 3661. In mathematics, it has several noteworthy properties. Its prime factorization is 2^2 × 3 × 5 × 61, making it even and composite. The sum of its positive divisors is 10,416, which yields a sum of proper divisors of 6,756; thus 3660 is an abundant number. The digits sum to 15, and since 3660 is divisible by 15 (3660 ÷ 15 = 244), it is also a Harshad (or Niven) number. Notably, 3660 = 60 × 61, the product of two consecutive integers, which classifies it as a pronic (or oblong) number. In Roman numerals it is written MMMDCLX, and in binary it is 111001001100.

Because it is a pronic number, 3660 lies in the sequence of n(n+1) values and has several divisors closely related to its factorization, including 60 and 61. The number’s properties—being even, abundant, and divisible by the sum of its digits—reflect common arithmetic patterns seen in composite integers. While primarily of interest in number theory, 3660’s simple factorization and its status as a product of consecutive integers are often cited in examples illustrating divisibility and factorization concepts.