7 transactions per second times 60 equals per minute times 60 equals per hour times 24 equals per day = 604800 satoshis sent in individual transactions.
However, nodes filter such so-called “dust” transactions. The minimum output amount for a transaction to be relayed by the network is 546 satoshis. So: 330220800 satoshis = 3.302208 BTC to fill the network for a day.
(As explained in, http://www.reddit.com/r/Bitcoin/comments/37z9ln/how_much_btc_needed_to_fill_entire_1_mb_block/crqzv63)
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