Other than the NY Air-weather on 3485 kHz USB, and whatever that is on 3455, the spectrum between 3400 and 3500 seems fairly barren. Even major portions of the 90 meter broadcast band from 3.2 to 3.4 may be usable with so many stations disappearing from shortwave.
I used to operate TCS a lot on 3275 kHz AM back in 2006-08. MAC Shortwave used to use 3200, right between the two US powerhouse shortwaves which were on 3185 and 3215.