3688

3688 is the natural number that follows 3687 and precedes 3689. It is an even composite number.

Its prime factorization is 2^3 × 461, with 461 being a prime number. Therefore, 3688 has eight positive divisors: 1, 2, 4, 8, 461, 922, 1844, and 3688. The Euler totient of 3688 is φ(3688) = 1840, and the number of divisors d(3688) is 8. The sum of its divisors is σ(3688) = 6930, which is less than 2 × 3688, so 3688 is a deficient number.

In various numeral systems, 3688 can be represented as follows: in binary it is 111001101000, in octal 7150, and in hexadecimal E68. In Roman numerals, it is MMMDCLXXXVIII.

Further properties follow from its factorization. Since 3688 = 8 × 461, it is divisible by 8 but not by 16. The factor 461 is prime, so 3688 is not a prime and has a simple divisor structure. The number is even and composite, and its divisors arise from combinations of the factors 2 and 461.

In summary, 3688 is a even composite number with a simple prime factorization, a small divisor count, and standard representations across common bases and numeral systems.