Having Enough Capital
The easiest way to have enough money to spend is to own enough capital that produces the required money while you are travelling. Unfortunately earning the capital is not as easy as owning it. But it can be done.
The first alternative is to work hard for twenty or thirty years, invest the extra money that is not spent to living and then start to live on the profit generated by the capital. In this approach, you need to minimise the amount of money used for living and maximise the profit margin when investing the extra. Just make sure that the risk level is acceptable for you.
There is no need to be on a shoestring budget for half of your life to enjoy travelling for a couple of years. Instead, live normally but do not spend excessively to something that looses its value fast. For example, do not rent an apartment but buy one. In twenty or thirty years you have gained a nice amount of capital in form of your apartment and you make profit by either selling it or renting it out when travelling.
The second alternative is to marry someone who is rich already. But be warned, if you do this kind of manoeuvers without real love, you may end up having a lousy marriage and unhappy life.
The third option is to have wealthy parents that either pay your travelling or grow capital for you. Unfortunately you cannot choose them and this option is based on sheer luck.
When you have enough capital, invest it securely. You should get a base sum every year, not depending on the current economic climate. This means that you will not get inflated profits on boom years, but on the other hand you still get something during bad times, too. When you have enough as a base, do whatever you like with the rest.
I would strongly recommended to use professional help in making the investment decisions. And regardless what you want to do with your capital, do not spend it in Internet hoaxes, such as the Nigerian bank scam. Promises that are too good to be true, are always really too good for being real.