Can the Zendure SuperBase V6400 run a Central AC (3 ton)?

No.

Starting surge is 8000 W; this unit peaks at 5000 W.

Appliance

Central AC (3 ton) · 3500 W / 8000 W surge · 240V

Battery (base)

6.4kWh · 3.8kW / 5kW surge

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Runtime Quick-Check

Pick a battery and an appliance — see days of runtime after the 0.85 inverter derate.

BatteryApplianceQuantity

No — surge (8000 W) exceeds this unit's 5000 W peak.

Running more than one device?