The best replacement for 3820 is 3930k.

The best alternatives to 3820 are rated as following:
★★★★★  3930k
★★★★  3770k
★★★★  4770k
★★★★  2600k
★★★★  4820k
★★★  3570k
★★★  4770
★★★  3770
★★★  8350
★★★  4930k
★★  2700k
★  i7 3770k
★  3770k benchmark
★  i7 2600k
★  i5 3570k
★  4960x
★  3930k benchmark
  4820
  i7 3930k
  i5 2500k
  i7 2700k
  3930
  i73770
  i7 3770
  3570

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Speaking about 3820, one probably shouldn't forget about sabertooth x79.

Other search terms related to 3820 and their ratings are:
★★★★★ sabertooth x79
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Google Trends

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3820
3930k
3770k