Mobile/Cell Phone Power consumption?
Your post deals with several different aspects, which I'll clarify:

1) The power necessary to charge the battery can be almost anything. You can charge a battery with 1W or with 5W. The voltage must always be the same. If you use less watts, the resulting lower current means less charge and therefore longer chargning time. There is a maximum current at which a battery can be charged. Ususally this is 1C, where the C is the capacity of the battery which is 1650mAh. So, battery max current is 1650mA. In reality, it can be C/2 or other values depending on the battery chemistry. Chargers must remain below this

2) CNET must be wrong about 55W.  At 3.7V you're talking about 14.86A which is very high and a battery of 1650mAh would likely get destroyed. I've worked with Cell Phones and although the peaks are high, they are never this high. Given a 1650mAh battery, you can draw 1650mA in one hour, or double in half an hour. In reality, the rate of discharge ends up changing the nominal capacity, so this isn't linear but an approximation.

As you calculated, the wattage is about 0.76W at 3G.