Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP); Flight Crew Multiengine
Inflight Event / Encounter Wake Vortex Encounter
Flight Crew Regained Aircraft Control
Environment - Non Weather Related; Procedure
Arriving SEA; ATC cleared us to follow aircraft ahead to visual approach 34L.  We were given 170kts to final fix due to ATC spacing us just over 3 miles behind a B737.  I was Pilot Monitoring; the First Officer the Pilot Flying had our plane on autopilot using heading select and vertical speed to navigate onto the localizer and glideslope.Just as the plane was joining the localizer; a mild buffeting was felt followed by a rapid roll in direction of the turn. Aural warning 'Bank Angle' annunciated.  The First Officer immediately disconnected the autopilot and reduced the bank angle to normal parameters.  The rest of the approach was uneventful.On visual approaches; especially with close spacing; fly above the path of the preceding aircraft.
While on dogleg to final for RWY 34L; descending to 2;400 feet MSL following preceding B737 by 3.5 NM encountered wake turbulence while on autopilot.  As autopilot initiated turn to join the localizer the aircraft encountered the wake turbulence causing a rapid roll to the right (in the direction of the turn).  The aircraft rolled past 30 degrees of bank and an aural warning 'bank angle' sounded.  The Pilot Flying recognized the excursion and disengaged the autopilot and reduced the bank angle to normal range.  Pilot Flying continued the approach and landed uneventfully.Consider staying above preceding aircraft's altitude/flight path to avoid wake turbulence or increase range between aircraft.
B737-900 flight crew reported encountering wake turbulence on final approach to SEA in trail of a B737.