I disagree.
40: Methods of Betting: Verbal and Chips
A: 1) Bets are by verbal declaration and/or pushing out chips. 2) If a player does both, whichever is first defines the bet. 3) If simultaneous, a clear and reasonable verbal declaration takes precedence, otherwise the chips play. 4) In unclear situations or where verbal and chips are contradictory, the TD will determine the bet based on the circumstances and Rule 1.
The individual phrases of rule #40 describes your scenario. 1) The player bet "38,000 and all-in" that is as simultaneous as humanly possible especially when taken literally with the use of the word "and." In other words, this is a single declaration, not two in sequence. In phrase 2), the player does both simultaneously (declare and push), not one after the other. Therefore, ... 3) the simultaneous declaration and push is not clear. It is unclear because the single declaration of "38,000 and all-in" is contradictory to the actual all-in chip amount, so according to the rule - the chips play. Which, brings us to phrase 4). It is an unclear situation - part of the verbal declaration (38000) contradicts and part (all-in) corroborates with the actual chips bet simultaneously. I'm ruling that the player is all-in according to Rule #40-A, phrases 3 & 4.
The above opinions expressed by MikeB, Nick, and Dave Miller, all rely on interpreting "38000 and all-in" as two sequential declarations. In fact, if the phrase was "all-in and 38000" they would rule differently. Or, as Dave said, "I've got 38000" would change his ruling. The player did not make two separate declarations such as "I bet 38,000, I'm all-in." They stated a single declaration - a "38000 and all-in" bet - which, was inaccurate as indeed it was 46,000 and all-in. Their intention was clear and pushing 46,000 all-in confirms their bet.
Note, that Rule #40 A - phrase 2) DOES address the importance of sequence. But, THAT importance is upon the sequence of a verbal declaration and a pushing of chips. It does not give importance to the sequence of words in a single declarative phrase.