A cigarette includes a charge or roll of smokable material (e.g., tobacco cut filler) circumscribed by two layers of paper wrapping materials. The first or inner wrapping material includes an inorganic filler material and tobacco material within the web. The inner wrapping material also can include a water soluble salt burn chemical and a carbonaceous material within the web. The second or outer wrapping material circumscribes and overwraps the first wrapping material, has a cellulosic base web and inorganic filler material, and exhibits a low inherent air permeability. The outer wrapping material can include a magnesium hydroxide filler, and exhibits an inherent air permeability of below about 15 CORESTA units and a net air permeability above about 40 CORESTA units. The cigarette is capable of sustaining smolder under FTC smoking conditions while yielding very low levels of visible sidestream smoke.