34200044314431 has 8 divisors (see below), whose sum is σ = 46347601038384. Its totient is φ = 22426258566720.

The previous prime is 34200044314391. The next prime is 34200044314453. The reversal of 34200044314431 is 13441344000243.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34200044314431 - 2¹⁸ = 34200044052287 is a prime.

It is a super-2 number, since 2×34200044314431² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34200044314392 and 34200044314401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200044314231) 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 7 ways as a sum of consecutive naturals, for example, 93442743846 + ... + 93442744211.

It is an arithmetic number, because the mean of its divisors is an integer number (5793450129798).

Almost surely, 2^{34200044314431} is an apocalyptic number.

34200044314431 is a deficient number, since it is larger than the sum of its proper divisors (12147556723953).

34200044314431 is a wasteful number, since it uses less digits than its factorization.

34200044314431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186885488121.

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

Adding to 34200044314431 its reverse (13441344000243), we get a palindrome (47641388314674).

The spelling of 34200044314431 in words is "thirty-four trillion, two hundred billion, forty-four million, three hundred fourteen thousand, four hundred thirty-one".