Which giant number is greater?

Algebra Level 2

Which is greater,

353or626 ?\Huge \color{#3D99F6}{3}^{\color{#D61F06}{5}^{\color{#3D99F6}{3}}} \qquad \text{or} \qquad \color{#20A900}{6}^{\color{#69047E}{2}^{\color{#20A900}{6}}} \color{#333333}\ ?

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