1.475v is way high for 3.8 GHz speed for a 965be. You should be able to hit that with around 1.4v. My 965 can hit that frequency with 1.35v But I have a really good chip this is why I said you should be able to hit 3.8 on 1.4v. The stock cooler for the 965 is just enough to handle 3.8 GHz with a High air flow case.
You need more air flow through the case and you need to lower the core voltage. Make sure you have the fan installed correctly on the cooler. The fan should be mounted on the front of the cooler with the air pushing through the cooler towards the back of the case. I have a Hyper 212 evo on my 965 with 1.41v @ 4.073 GHz and max out at 64°c during a Intel Burn Test run with maximum stress with 8 GB of ram and for 40 runs. The difference is I have a high airflow case.
As for the suggestion of adding another fan to the CPU cooler, there is very little difference in temps when you add a second fan to the Hyper 212 + and evo. There is a difference of 2°c when this is done. Toms here has done bench tests on this fact and I personally have tried with the same effect. The only thing that makes this cooler more efficient at cooling is adding a higher static pressure fan with more CFM's. This has been proven to cool the CPU better with a Hyper 212 evo. I have a Hyper 212 evo on my 965 with 1.41v @ 4.073 GHz and max out at 64°c during a Intel Burn Test run with maximum stress with 8 GB of ram and for 40 runs. The difference is I have a high airflow case.
Make sure all your wires are tucked out of the way and keep as much of them as you can in the back panel of the case. This helps air to flow through the case and feed the components with fresh air. Here is an example of what I mean on wiring.
What case do you have?