34000431112341 has 32 divisors (see below), whose sum is σ = 52121556432000. Its totient is φ = 21891053568384.

The previous prime is 34000431112339. The next prime is 34000431112391. The reversal of 34000431112341 is 14321113400043.

34000431112341 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 0 + 4 + 311 + 1 + 2 + 341 = 666.

It is not a de Polignac number, because 34000431112341 - 2¹ = 34000431112339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000431112301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164421786 + ... + 164628443.

It is an arithmetic number, because the mean of its divisors is an integer number (1628798638500).

Almost surely, 2^{34000431112341} is an apocalyptic number.

It is an amenable number.

34000431112341 is a deficient number, since it is larger than the sum of its proper divisors (18121125319659).

34000431112341 is a wasteful number, since it uses less digits than its factorization.

34000431112341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329050370 (or 329050364 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 34000431112341 its reverse (14321113400043), we get a palindrome (48321544512384).

The spelling of 34000431112341 in words is "thirty-four trillion, four hundred thirty-one million, one hundred twelve thousand, three hundred forty-one".