How to Diagnose and Fix BMW Fault Codes 38A4, 378F, 3446, and 3847?

It sounds like you're dealing with a few issues related to the BSD line on your 2011 335i, including a charging malfunction, an electric coolant pump issue, and an oil condition sensor fault. Given that multiple components are failing simultaneously, it's likely that the intelligent battery sensor is at fault. This sensor is crucial for communication between various systems in your vehicle, and if it's malfunctioning, it can lead to the symptoms you're experiencing. To start addressing this, I recommend replacing the intelligent battery sensor. You can often find this part at auto parts stores like AutoZone, or you might consider checking a local salvage yard for a cheaper option. When you're ready to install the new sensor, follow the battery connectors and plug them in one by one, making sure to connect the battery last. If you're curious about testing the components on the BSD line, you might notice that the water pump continues to run after the vehicle is turned off. This could indicate a continuity issue, meaning there's still current flowing through the system. While I can't provide specific electrical diagnostics, it's a sign that something isn't functioning correctly. As a quick troubleshooting step, try disconnecting the negative battery terminal and leave it off for about five minutes before reconnecting it. After you reconnect the battery, observe whether the water pump continues to run. This can help you determine if the issue persists after resetting the system. Keep an eye on the codes you're seeing, and if the problem continues, further investigation into each component might be necessary. If you have any more questions or need further assistance, feel free to reach out!