get the current archive term id$ code example

Example 1: get current term id

<?php $current_term = get_queried_object()->term_id; ?>

Example 2: wordpress get current taxonomy

$term = get_term_by( 'slug', get_query_var( 'term' ), get_query_var( 'taxonomy' ) );
echo $term->name; // will show the name
echo $term->slug; // will show the slug