34310350505144 has 32 divisors (see below), whose sum is σ = 73589200915680. Its totient is φ = 14691031678464.

The previous prime is 34310350505143. The next prime is 34310350505149. The reversal of 34310350505144 is 44150505301343.

It is a junction number, because it is equal to n+sod(n) for n = 34310350505098 and 34310350505107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34310350505143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279193277 + ... + 279316140.

It is an arithmetic number, because the mean of its divisors is an integer number (2299662528615).

Almost surely, 2^{34310350505144} is an apocalyptic number.

It is an amenable number.

34310350505144 is an abundant number, since it is smaller than the sum of its proper divisors (39278850410536).

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

34310350505144 is a wasteful number, since it uses less digits than its factorization.

34310350505144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558510527 (or 558510523 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

Adding to 34310350505144 its reverse (44150505301343), we get a palindrome (78460855806487).

The spelling of 34310350505144 in words is "thirty-four trillion, three hundred ten billion, three hundred fifty million, five hundred five thousand, one hundred forty-four".