Oops -
I should have said the power or wattage of the coil is 3.7 Watts NOT Resistance. Resistance of the coil is ALSO 3.7 ohms but will decrease as the voltage will go up also because the coil only needs 3.7 Watts to operate.
One thing to think bout here is that when Voltage goes up amperage decreases - especially in a simple heating circuit such as an atomizer. Using Ohms law we can determine that IF with a 3.7 volt battery is drawing 1 amp of power for the atomizer then the total resistance of the coil (atomizer) is 3.7 ohms. Since the coils are very tiny the variance in manufacturing is probably NOT all that stringent any change in the length of the coil would vary resistance and increase or decrease current draw ( Maybe a cause for dying atomizers - short coil / Could lead to a higher than normal current draw and a battery could get fried also after having to "work" harder) Anyway if we use 3.7 watts as the "BASE" needed for said coil at 5 volts you will only require .74 amps or 740 milliamps a 25% saving on the amperage and much closer to the 500 milliamp spec of the USB port