Why do quantum effects dominates when the thermal de Broglie wavelength is on the order of or larger than the interparticle distance?

We say that when the thermal de Broglie wavelength is much smaller than the interparticle distance, the gas can be considered to be a classical or Maxwell–Boltzmann gas. On the other hand, when the thermal de Broglie wavelength is on the order of or larger than the interparticle distance, quantum effects will dominate and the gas must be treated as a Fermi gas or a Bose gas, depending on the nature of the gas particles. $(V/N)^{1/3} < \lambda_{th} $. My question is why do quantum effects dominate?