How many recombination events are there per generation in humans?
Back-of-the-envelope calculation

The definition of the centimorgan is that it is the length of DNA in a chromosome corresponding to a 1% chance of crossover occurring. 

In human chromosomes 1 cM  = approx. 1Mbp.

Your value for the length of DNA in the genome = 3.3 Gbp = 3300 MBp

Ignoring complications like the Poisson distribution: 

1 cM corresponds to a probability of 1% chance of a detectable crossover. Detectable, because only an odd number of crossing over events between 2 genetic markers can be observed as a recombination, but even numbers instead go unrecognised. Therefore the actual chance of crossing over is doubled relative to the cM value.
If 1 cM = 2% actual chance of crossover, there will be on average 1 crossover per 50 cM or per 50Mbp

Therefore crossovers per human genome = 3300/50 = 66  or approx 2-4 per chromosome

This guess comes near empiric data:

Actual data


This Table, taken from here shows the number of chiasmata by chromosome for 8 human cells. (Note that it believed that there has to be at least one chiasma per chromatid pair since they have a structural role.) 

The average chiasmata per chromosome for each chromosome can be estimated by dividing the number in the final column by 8. These vary from (rounding aggressively) 3.5 for Chr 1 and Chr 2, to 1 for Chr 20. So my back-of-the-envelope calculation seems to have produced a reasonable answer.

What is the amount of DNA exchanged? I'm not sure this question matches well with the picture that emerges from these numbers.