We explore, from a statistical point of view, the rest-frame far-ultraviolet (FUV) to far-infrared (FIR) emission of a population of Lyman-break galaxies (LBGs) at z~3 that cannot be individually detected from current FIR observations. We performed a stacking analysis over a sample of ~17000 LBGs at redshift 2.5<z<3.5 in the COSMOS field. The sample is binned as a function of UV luminosity (L_FUV_), UV continuum slope (beta_UV_), and stellar mass (M), and then stacked at optical (BVriz bands), near-infrared (YJHKs bands), IRAC (3.6, 4.5, 5.6 and 8.0um), MIPS (24um), PACS (100 and 160 um), SPIRE (250, 350, and 500um), and AzTEC (1.1mm) observations. We obtained 30 rest-frame FUV-to-FIR spectral energy distributions (SEDs) of LBGs at z~3, and analyzed these with the CIGALE SED-fitting analysis code. We were able to derive fully consistent physical parameters, that is, M, beta_UV_, L_FUV_, L_IR_, A_FUV_, star formation rate, and the slope of the dust attenuation law; we built a semiempirical library of 30 rest-frame FUV-to-FIR stacked LBG SEDs as functions of L_FUV_, beta_UV_, and M. Additionally, We used the so-called IR-excess (IRX) to investigate the dust attenuation and the shape of the dust attenuation curve as a function of L_UV_, beta_UV_ and M.