How long can the Anker SOLIX F3800 run a Router + modem?

6.8 dayswell beyond what you asked for

Formula: (3.8kWh × 0.85 inverter efficiency) ÷ 0.48 kWh/day = 6.8 days. At continuous 20 W draw (no duty cycle), about 6.8 days.

What if you add a battery? The + Home Backup Kit config jumps to 7.7kWh — roughly 13.6 days on a Router + modem.

Appliance

Router + modem · 20 W / 20 W surge

Battery (base)

3.8kWh · 6kW / 9kW surge

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Runtime Quick-Check

Runtime Quick-Check

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

6.8 days

Formula: (3840 Wh × 0.85) ÷ 0.48 kWh/day = 6.8 days. Continuous draw ≈ 6.8 days at full load.

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