Modeling of the Solar Spectral Irradiance and its Variability Alexander Shapiro [alexander.shapiro@pmodwrc.ch], Werner Schmutz, and Gaël Cessateur; Physikalisch-Meteorologishes Observatorium Davos (PMOD/WRC), Switzerland We present spectral solar irradiance data from two recent European missions PROBA-2 with LYRA radiometer onboard and PICARD with PREMOS package onboard. The instruments cover together the solar spectrum from the EUV to nearinfrared. We provide a comparison with the VIRGO/SOHO and SOLSTICE+SIM/SORCE data. The recently developed and published COde for Solar Irradiance (COSI) is employed to model the observed variability of the solar irradiance. The modeling is used to test and constrain the existing models of the solar atmosphere, e.g., the temperature structure of the photosphere and the treatment of the pseudo-continuum opacities in the Herzberg continuum range. We discuss the long-term solar variability and outline an observational program which can help to constrain the estimations of the secular trend in the solar irradiance. The comparison of the reconstructed solar irradiance with the stellar photometric records allows us to addresses the question of whether the Sun is a typical star or an outlier among its stellar cohort.