Exactly what is the 'it' you refer to??
The constant will always stay the same as long as the system is not interfered with from outside. The closer the number is to zero, the more it favours the reactants (i think, it may be the other way around). Thus, if it favours the reactants, i suppose that means that you get a higher concentration of reactants than prducts.
Hey, all th reactants lined up!!