We investigate the observational constraints on the cosmic neutrino background (CNB) given by the extended CDM scenario (CDM ) using the latest observational data from Planck CMB (temperature power spectrum, low-polarisation and lensing reconstruction), baryon acoustic oscillations (BAOs), the new recent local value of the Hubble constant from Hubble Space Telescope (HST) and information of the abundance of galaxy clusters (GCs). We study the constraints on the CNB background using CMB + BAO + HST data with and without the GC data. We find at 68 per cent confidence level when the GC data are added in the analysis. We do not find significant deviation for sound speed in the CNB rest frame. We also analyze the particular case CDM with the observational data. Within this scenario, we find at 68 per cent confidence level. In both the scenarios, no mean deviations are found for the degeneracy parameter.