$$38-6\times[4+5\times\{(6-112)-5\}]+14$$
$3358$
$$38-6\left(4+5\left(-106-5\right)\right)+14$$
$$38-6\left(4+5\left(-111\right)\right)+14$$
$$38-6\left(4-555\right)+14$$
$$38-6\left(-551\right)+14$$
$$38-\left(-3306\right)+14$$
$$38+3306+14$$
$$3344+14$$
$$3358$$
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$2\times 23\times 73$