Hemodialysis catheter 100 with corrugated tips includes elongated body 110 having first and second distal end regions 118 119 terminating in tips opened to lumens extending continuously along both elongated body and distal end regions. Each tip tubular wall has a corrugated configuration with at least two grooves 128 129 including outer and inner grooves merging into the tip edge via diverging angles from elongated body longitudinal axis and may be rotationally symmetric relative to the axis. In some embodiments tip inner wall and hollow outer surfaces merge into a corrugated form having alternating grooves and ridges along distal ends of the tip that enable the catheter to facilitate active lateral or frontal fluid traversability therethrough.