ISM? IGM?
It's a good deal more complicated than ~1 atom/molecule per cubic cm, ~3K.
At the '0-th level':
"... the region between the stars in a galaxy like the Milky Way is far from empty. These regions have very low densities (they constitute a vacuum far better than can be produced artificially on the surface of the Earth), but are filled with gas, dust, magnetic fields, and charged particles. This is commonly termed the interstellar medium."
Source:
http://csep10.phys.utk.edu/astr162/lect/milkyway/ism.html
Even within the Milky Way, the interstellar medium (ISM) varies by at least
eight orders of magnitude in its density, and ~5 in its temperature. None of it is as cold as 3K; there's too much high energy EM about for it to get that cold, except in the hearts of dense, opaque clouds.
Some introductions/overviews:
http://www.stormpages.com/swadhwa/stellarevolution/lecture9.htm
http://www-ssg.sr.unh.edu/tof/Outreach/Interstellar/
http://www.physics.gmu.edu/classinfo/astr103/CourseNotes/Html/Lec04/Lec04_pt7_interstellarMedium.htm
A concise summary of the VLISM ("very local interstellar medium), in section 2:
http://web.mit.edu/space/www/helio.review/axford.suess.html
Interestingly, the intergalactic medium (IGM) is thought to comprise ~30%+ of the baryonic matter in the universe (that's the stuff from which all stars, gas, dust, planets, etc is made up of; together amounting to ~4% of the universe). It's pretty rarified stuff, ~10
-23 particles per cubic cm, with a temperature of 10
4 to 10
8K, though values these are poorly constrained.
IIRC, the lowest density parts of the universe are in the bubbles evacuated by the jets from quasars. If the gas is flowing hypersonically, it may also be the lowest temperature natural material in the universe, maybe.