We have conducted extensive investigations on the magnetization and its dynamical relaxation on a Ba0.66K0.32BiO 3+δ single crystal. It is found that the magnetization relaxation rate is rather weak compared with that in the cuprate superconductors, indicating a higher collective vortex pinning potential (or activation energy), although the intrinsic pinning potential Uc is weaker. Detailed analysis leads to the following discoveries: (1) A second-peak effect on the magnetization-hysteresis-loop was observed in a very wide temperature region, ranging from 2K to 24K. Its general behavior looks like that in YBa2Cu3O7; (2) Associated with the second peak effect, the magnetization relaxation rate is inversely related to the transient superconducting current density Js revealing a quite general and similar mechanism for the second peak effect in many high temperature superconductors; (3) A detailed analysis based on the collective creep model reveals a large glassy exponent µ and a small intrinsic pinning potential Uc; (4) Investigation on the volume pinning force density shows that the data can be scaled to the formula Fp ∝ b p (1 − b) q with p = 2.79 and q = 3.14, here b is the reduced magnetic field to the irreversible magnetic field. The maximum normalized pinning force density appears near b ≈ 0.47. Finally, a vortex phase diagram is drawn for showing the phase transitions or crossovers between different vortex phases. PACS numbers: 74.70.-b, 74.25.Ha, 74.25.Wx, 74.25.Uv U (J s , T, B e ) = U c (T, B e ) µ(T, B e ) [( J c (T, B e ) J s (T, B e ) ) µ(T,Be) − 1] (2)