Mutual Asymptotic analysis of the given fucntions

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$ f(n)$ = $ 3n^{\sqrt{n}} $

$g(n)$ = $2^{\sqrt{n}log_2n}$

$h(n)=n! $

For all the $3$ pairs of the functions, which one is $Big-O$ of which ?

I am unable to compare these functions.

Edit : I plotted them and observed that for large $n$ :- $h(n)>f(n)>g(n)$