Tic Tac Toe

In a standard $3 \times 3$ tie tac toe grid, a player wins when they have 3 of their symbol (either $X$ or $O$) in a row, column, or upon one of the two diagonals, yielding 8 possible winning paths. How many winning paths are there in $4 \times 4 \times 4$ 3D tic tac toe grid? The winning condition is that a player must have 4 of their symbol in a line, which includes diagonally and vertically down.