Considering it is a pre-built system, I'm going to assume that the power supply in general is just done for.
As for replacing it if this is the case, you have a couple options. Given that Dell made it, you can go through them and get a replacement, but it will likely be more expensive than it is worth for another one of their...questionable...parts. Your other option is to do some research on your system to find out what pin connection it takes, (20 or 24 pin), and figure out what other connectors the replacement power supply would also need to have, (such as the number of molex connections, floppy power cables, CPU power cables, PCI-E power cables, SATA power cables, and so on). Your system also doesn't appear to be from their older area of when they used proprietary power supplies, so a standard ATX one will likely work just fine with your system.
Once you find this information, figure out how far you wish to expand your computer in the coming years to determine how much wattage you want your new power supply to output. If you don't plan on adding anything new to this system, then you shouldn't need to go too high. Additionally, you'll want to check some reviews to find a decent, stable power supply, as there are some cheaply-manufactured ones out there which don't have stable rails, and if they fail, could cause damage to your system. Likewise, you don't need to go out and get the greatest one imaginable if your system doesn't need it.
Also keep in mind that some newer power supplies may be longer in length, so you'll need to measure the inside of your case to see what will fit. Dell computer cases are notorious for being cramped inside, and they are not of a standard sizing despite many claims, so you probably won't find this information online. Measuring tape is the suggested method here.
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