To determine how many chickens the farm can have, we start by multiplying the maximum number of chickens per acre by the total area of the farm.
- The maximum number of chickens per acre is 100.
- The area of the farm is 32.4 acres.
Now, we calculate the total number of chickens:
\[ \text{Total chickens} = \text{Maximum chickens per acre} \times \text{Area of the farm} \]
\[ \text{Total chickens} = 100 \times 32.4 \]
\[ \text{Total chickens} = 3240 \]
Thus, the farm can have a maximum of 3240 chickens.