A secondary clarifier handles a total flow of $9600 \text{ m}^3\text{/d}$ from the aeration tank of a conventional activated-sludge treatment system. The concentration of solids in the flow from the aeration tank is $3000\text{ mg/L}$. The clarifier is required to thicken the solids to $12000 \text{ mg/L},$ and hence it is to be designed for a solid flux of $3.2\dfrac{\text{kg}}{\text{m}^2\text{.h}}$. The surface area of the designed clarifier for thickening (in $\text{m}^2$, $\textit{in integer}$) is ___________________