3780

3780 is a positive integer with several notable mathematical properties. Its prime factorization is 2^2 × 3^3 × 5 × 7, making it a composite even number. It can be expressed in various factorizations, such as 60 × 63 or 7 × 540.

The number has 48 positive divisors, and the sum of all divisors is 13440, giving a sum of proper divisors of 9660. Thus 3780 is an abundant number. The digits sum to 18, so it is divisible by 9 and by 3, hence by 18 as well (210 times). It is also divisible by 4 and by 5, among other divisors. In Roman numerals, 3780 is written as MMMDCCLXXX. In hexadecimal it is EC4, in octal it is 7304, and in binary it is 111011000100.

As a practical note, 3780 is equal to 60 × 63 and to 7 × 540, illustrating common factor pairs. Its status as an abundant, highly composite number with multiple small prime factors makes it a typical example when illustrating divisor sums and base representations in number theory.