modelName

controllers.application.js

import Ember from 'ember';

export default Ember.Controller.extend({
  appName: 'Ember Twiddle',
  modelName: Ember.computed('model', function() {
    let model = this.get('model');
		return model ? model._internalModel.modelName : ''; 
	}),
  modelName2: Ember.computed('model', function() {
    let model = this.get('model');
		return model ? model.constructor.modelName : ''; 
	}),
  modelForApproach: Ember.computed('model', function() {
  	let model = this.store.modelFor('my-model');
    return model.modelName;
  }),
  modelClass: Ember.computed('model', function() {
  	let model = this.store.modelFor('my-model');
    return 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>
computed with constructor: {{modelName2}}<br>
computed with _internalModel: {{modelName}}<br>
internalModel in template: {{model._internalModel.modelName}}<br>
modelForAproach: {{modelForApproach}}<br>
modelClass.modelName in template: {{modelClass.modelName}}<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": "beta",
    "ember-template-compiler": "2.10.2",
    "ember-testing": "2.10.2"
  },
  "addons": {}
}