Ответ:

const nums = [3564, 3982, 2224, 8576, 8877, 3964, 3035];

const result = arr => arr.filter(n => ('' + n).length === [...new Set( [...('' + n)] )].length);

console.log( result(nums) ); // [3564, 3982, 8576, 3964]

Объяснение: