34344201114340 has 24 divisors (see below), whose sum is σ = 77670731751480. Its totient is φ = 12680935795968.

The previous prime is 34344201114319. The next prime is 34344201114367. The reversal of 34344201114340 is 4341110244343.

It can be written as a sum of positive squares in 4 ways, for example, as 3520118935204 + 30824082179136 = 1876198^2 + 5551944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34344201114296 and 34344201114305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66046540345 + ... + 66046540864.

It is an arithmetic number, because the mean of its divisors is an integer number (3236280489645).

Almost surely, 2^{34344201114340} is an apocalyptic number.

It is an amenable number.

34344201114340 is an abundant number, since it is smaller than the sum of its proper divisors (43326530637140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34344201114340 is a wasteful number, since it uses less digits than its factorization.

34344201114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132093081231 (or 132093081229 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 34344201114340 its reverse (4341110244343), we get a palindrome (38685311358683).

The spelling of 34344201114340 in words is "thirty-four trillion, three hundred forty-four billion, two hundred one million, one hundred fourteen thousand, three hundred forty".