There aren't much point worrying about the 4 ohm thing in isolation because whether a certain amplifier is suitable for the so called 4 ohm speakers depend a lot on the final sound pressure level you need at your listening position, and as mentioned, the actual impedance versus frequency characteristics. For example, if the "nominal" 4 ohm value is a result of the impedance in frequency ranges mostly outside of the bass and mid bass, and if the impedance in the bass/mid bass bands are actually closer to 8 ohms, then the speaker maybe relatively easier to drive than a 8 ohm nominal rated speaker that could have dips in the lower frequencies.
SPL depends much on the distance and sensitivity. Take a look of the examples of speakers with different sensitivity, impedance, and maximum spl specifications below:
Speaker A - 90 dB/2.83V/1m , 4 ohms, 110 dB, distance 4m
Speaker B - 87 dB/2.83V/1m, 8 ohms, 115 dB, distance 4m
Speaker C - 88 dB/1W/1m, 4 ohms, 108 dB, distance 2m
All else being equal, which one is easiest to drive for an amp that is rated for 4 ohm?
Based on data given above:
- One possible correct answer would be speaker B if one wants to achieve the highest possible sound pressure level at a given distance, otherwise A and B would be equal, again, only if all else being equal.
- If the spl needed is 105 dB, then speaker C, still the worst load among the 3, but because of the shorter distance, would be easier on the amplifier.
Sorry about my friendly ranting, but it really is difficult to answer questions about concerns of using an AVR to drive 4 ohm speakers, when only the nominal impedance information is given.
All else being equal again, I am confident to say all Denon AVR-3800 and 4800 series AVR can handle 4 ohm nominal rated speakers as well as, or better than most separate pre-amp/power amps rated 100 to 120 W per channel, two channel being driven simultaneously.
I would suggest, in general, use the online calculator linked below to find out the power you need and double it to allow for a safety margin, or use the Crownaudio calculator, without doubling the result.
http://myhometheater.homestead.com/splcalculator.html
Note: the above linked calculator is based on sensitivity specified for 1 watt/1 meter so for 4 ohm speakers specified x dB/2.83V/1m, deduct 3 dB before entering the number.