Shari$$s Sneakers has $$100,000$ of perpetual debt which trades at par and has a coupon rate of $6\%.$ The firm has $8,000$ shares of stock each priced at $$22.$ The firm has decided that it will issue equity and repurchase $$45,000$ of debt. The firm faces a $25\%$ tax rate. Assume that the firm$$s announcement about issuing equity to repurchase debt is both credible and a surprise to the market.

After the equity issuance, how many shares of stock will Shari$$s Sneakers have outstanding $($please answer to the nearest share. If your answer is $3,456\mathrm{.}78$ shares please enter $3457).$