In this work we consider a time-periodic and random version of the ABC flow. We are concerned with two main subjects. On the one hand, we study the mixing problem of a passive tracer in the three-dimensional torus by the action of the random ABC vector field. On the other hand, we investigate the effect of the ABC flow on the growth of a magnetic field described by the kinematic dynamo equations. To deal with these questions we analyse the ABC flow as a random dynamical system and examine the ergodic properties of its associated one-point, two-point, and projective Markov chains, as well as its top Lyapunov exponent. This work settles that the random ABC vector field is an example of a space-time smooth universal exponential mixer in the three dimensions, and in addition, we obtain that it is an ideal kinematic fast dynamo. This is a joint work with Michele Coti Zelati (Imperial College London).