To find the product of \(-34\) and \(-245\), you can multiply the two numbers together. Since multiplying two negative numbers yields a positive result, we have:
\[ -34 \cdot -245 = 34 \cdot 245 \]
Now, let's calculate \(34 \cdot 245\):
\[ 34 \cdot 245 = 34 \cdot (200 + 40 + 5) = 34 \cdot 200 + 34 \cdot 40 + 34 \cdot 5 \]
Calculating each term:
- \(34 \cdot 200 = 6800\)
- \(34 \cdot 40 = 1360\)
- \(34 \cdot 5 = 170\)
Now, we can add these results together:
\[ 6800 + 1360 + 170 = 8000 + 170 = 8170 \]
Thus, the product of \(-34\) and \(-245\) is:
\[ \boxed{8330} \]