Okay, I just popped down & looked at my model, & it says Model #4000T. Keep in mind, however, that my unit is at least 10 years old, so I'm sure they've changed model #'s & other stuff.
All I'll say is that mine is/was the very basic model at the time - resembles the 3001 models at Amazon. Small, white, & came with a grill basket, & a pan with a cover that sits on top & allows you to warm vegetables &/or rolls while your meat is cooking inside. Nice touch & works well. Also came with high-heat resistant rubber gloves for removing the meat off the skewers, heat-resistant poultry-ties, & a few other little trinkets. Husband also bought an accessory pack that allows you to do fairly large racks of ribs, but I've never used that. Basic hand-turned timer - nothing digital or anything. Ten years ago it was a steal at $120 or less (it was a gift, so I'm guessing).
If my current model ever does poop out, I'll definitely spring for a larger/longer model. I'd love to be able to do a small turkey &/or goose in this baby.