modelName

controllers.application.js

import Ember from 'ember';

export default Ember.Controller.extend({
  appName: 'Ember Twiddle',
  modelName: Ember.computed(function() {
		return this.get('model._internalModel.modelName');
	}),
  modelName2: Ember.computed(function() {
    return this.get('model.constructor.modelName');
	}),
  modelFor: Ember.computed(function() {
  	return this.store.modelFor('my-model')
  })
});

models.my-model.js

import Model from "ember-data/model";
import attr from "ember-data/attr";
import { belongsTo, hasMany } from "ember-data/relationships";

export default Model.extend({
  name: attr('string')
});

routes.application.js

import Ember from 'ember';

export default Ember.Route.extend({
  store: Ember.inject.service(),
  model() {
    return this.get('store').createRecord('my-model', {name: 'test'});
  }
});

templates.application.hbs

<h1>Model with name property {{model.name}}</h1>
<br>
<br>
This is with constructor in template: {{model.constructor.modelName}}<br>
This is computed with constructor: {{modelName2}}<br>
This is computed with _internalModel: {{modelName}}<br>
This is with internalModel in template: {{model._internalModel.modelName}}<br>
This is modelFor my-model: {{modelFor}}<br>
<br>
<br>

twiddle.json

{
  "version": "0.11.0",
  "EmberENV": {
    "FEATURES": {}
  },
  "options": {
    "use_pods": false,
    "enable-testing": false
  },
  "dependencies": {
    "jquery": "https://cdnjs.cloudflare.com/ajax/libs/jquery/1.11.3/jquery.js",
    "ember": "2.10.2",
    "ember-data": "2.11.0",
    "ember-template-compiler": "2.10.2",
    "ember-testing": "2.10.2"
  },
  "addons": {}
}