I tried to read up on it a bit but it is complex. If I'm not mistaken, prostate cancer surgeons (including famous ones such as Walsh, Catalona, or d'Amico) tend to think regular PSA screening should be done routinely (eg here or here). In contrast, Richard Ablin, who is usually credited with discovering the PSA molecule, is strongly opposed to screening. Screening tends to be recommended from 45 or even 40. This young age is more to establish a baseline PSA level than to detect PCA.
Clinical trial data on the effectiveness of screening are hard to interpret, for example, it turned out in one trial supposedly showing ineffectiveness of screening that many men in the control group had received PSA tests anyway, skewing the results against screening.
Personally, I'm persuaded by the arguments for screening in spite of the fact that overtreatment will occur. Note that compared to breast cancer, in terms of "years of life lost", much less is to be gained screening for prostate cancer than for breast cancer, see here, here and here.