At 3000A low voltage you have a few choices:
2 mfrs that I know of have Molded Case Circuit Breakers (MCCB) that go up to 3000A; Square D and Siemens. (there may be more, I just haven't been exposed to them).
Typically though, 2000A and up is where people tend to go with Power Breakers (PB) which are the stored energy type and come in 2 flavors; Insulated Case (ICCB) or Air Circuit Breakers (ACB) . All of the major manufacturers offer one or the other of these (or both). ICCBs use a plastic case, similar to an MCCB, but much larger and more versatile. They can be put into draw out frames in LV switchgear or mounted directly into panelboards where MCCBs are used as branches but need a large main breaker. ACBs are similar except then always come in a metal frame for draw-out gear.
You can also use Medium Voltage Vacuum Circuit Breakers (VCB) on low voltage, but they are really no smaller than PBs. Their only advantage in low voltage is that the contacts are sealed in vacuum bottles and if you have a lot of contamination they will last longer.
The biggest differences between MCCBs and PBs is that in a coordinated scheme, PBs are designed to handle much higher currents for longer times than MCCBs are. PBs are designed to be easily serviced and even rebuilt, whereas MCCBs are not (although people do it). There is however a skill set involved in choosing high energy coordinated power protection and if you are not trained in it, that is something best left to someone who is qualified.