3675

3675 is a natural number that follows 3674 and precedes 3676. It is an odd composite number. Its prime factorization is 3 × 5^2 × 7^2, indicating it is divisible by 3, 5, and 7, and it has 18 positive divisors. It can be expressed as 105 × 35, illustrating its multiple of 3, 5, and 7.

In base-10, the digit sum is 3+6+7+5 = 21, so 3675 is a Harshad (Niven) number, since 3675 ÷ 21 = 175. Its Roman numeral representation is MMMDCLXXV. In other common bases, 3675 equals 111001011011 in binary, 7133 in octal, and E5B in hexadecimal.

From a size and divisor perspective, σ(3675) = 7068 (the sum of its positive divisors), which is less than 2 × 3675 = 7350, so 3675 is a deficient number (not perfect or abundant).

As a mathematical object, 3675 is primarily noted for its factorization into 3 × 5^2 × 7^2 and its status as a non-prime, non-square, and non-triangular integer. It has no widely recognized constants or theorems specifically associated with it, but serves as a representative example of a composite number with multiple small prime factors.