Sulfuric acid is highly corrosive and even potentially explosive in some concentrations.
When dealing with Sulfuric Acid you should always wear gloves and even goggles to prevent it from coming into contact with your skin and eyes.
If Sulfuric Acid does get onto your skin it can cause severe burns and even eat away at your skin so if you do get Sulfuric acid on your skin you need to immediately start washing it off your skin with soap and water.
If the Sulfuric Acid gets on other parts of your body you need to get into a shower right away to wash it off before it eats your skin up or cause a severe burn.