34200412432341 has 16 divisors (see below), whose sum is σ = 45616375126080. Its totient is φ = 22792363082240.

The previous prime is 34200412432327. The next prime is 34200412432369. The reversal of 34200412432341 is 14323421400243.

It is a cyclic number.

It is not a de Polignac number, because 34200412432341 - 2⁵ = 34200412432309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200412432301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214314661 + ... + 214474181.

It is an arithmetic number, because the mean of its divisors is an integer number (2851023445380).

Almost surely, 2^{34200412432341} is an apocalyptic number.

It is an amenable number.

34200412432341 is a deficient number, since it is larger than the sum of its proper divisors (11415962693739).

34200412432341 is a wasteful number, since it uses less digits than its factorization.

34200412432341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183876.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 34200412432341 its reverse (14323421400243), we get a palindrome (48523833832584).

The spelling of 34200412432341 in words is "thirty-four trillion, two hundred billion, four hundred twelve million, four hundred thirty-two thousand, three hundred forty-one".