It took 35 years to reach interstellar space, but it will take 40,000 years for Voyager 1 to be closer to the star AC +79 3888 than our sun. Alpha Centauri is the closest star to our own right now, but because stars are moving, Voyager 1 will actually get within 1.7 light years of AC +79 3888 (aka Gliese 445) in 40,000 years.
Image credit: NASA/JPL-Caltech