Hi Chad,
There isn’t a regulator on the xDot, so your input voltage is routed to all components. Several of the components can accept higher voltages, but some do not. We recommend that you try to add a regulator that can supply 3.3 V. The batteries are going to provide lower voltages over time, so the regulator should also boost the voltage back to 3.3 V. Above 3.6 V the product could be unreliable.
That said, for testing/development, 3.62 V is right on the edge of recommended and would probably work okay. Energizer shows that the lithium AA typically outputs 1.7 V max (but could peak at 1.8 V) while nominal is 1.5 V. Keep in mind that the voltage could be higher or lower depending on the battery. For long term/production application, we still recommend a regulator.
Hope that helps,
Darrik