Yeah a lot of people get confused by all those voltage ratings...here it is in the nut shell..as it relates to e-cig batteries:
mah: milliamp-hours...IE, a measure of how long it will produce 1 milliamp of current..in this case 380 hours...this is a measure of how much current the battery stores and is a function of battery quality.
Voltage: the nominal voltage rating of the battery. The VK uses a nominal voltage of 3.7 volts. Important to note that when you activate the battery, it's staring face first into a virtual dead short..3.something ohms is very nearly a dead short. The more amperage the battery has available to it, the less that voltage drops when it stares into that black hole.
Amperage: The current available at a set voltage. typically when you throw a load on a battery, the voltage drops and the amperage increases..up to the capability of the battery.
The reason most e-cig batteries are measured in "mah" is to allow the purchaser to have a single number to compare batteries of the same type. It allows you to have a number you can lay hands on to compare duration of each battery in real world usage.
A higher mah rating indicates a higher amperage battery, but the voltage is fixed at 3.7 volts. because the only way the "mah" can go up if the voltage is fixed is by increasing amperage..you're left with the reason they produce more vapor. Since more amperage is available, the voltage drops less under a load (vaping a cartomizer) and more voltage is available than normal during usage as compared to a normal battery.
Did I mention I'm an Amateur Radio Operator?

Batteries are a pet of mine.