The leaking base might be a result of roof drainage. Whatever might be the reason, it’s quite a horrendous scene watching your basement water run-up to the general quarter. If you have a sloping roof, nothing better than that; in other cases, keep gutters adequately checked. Correct installment of the roof gutter system and checking the gutters for leaf remnants is a must. Have a team check and perhaps replace your current gutter or downspout system. Leaf remnants block gutters and sewer is automatically disturbed causing basement dripping.
You can also link the downspouts of the roof some distance away from the basements. This can help in keeping the basement clean. The soil around the base of the house must also be bent on the side facing away from the house.
So if there are pungent odors, minor drippings, and the phenomenon of efflorescence, get working on the leaking basement. If you do not pay heed to it, you might just have to pay over 20000 USD for a French sump pump and waterproofing.