34112301442344 has 48 divisors (see below), whose sum is σ = 92387757496320. Its totient is φ = 11370733372320.

The previous prime is 34112301442327. The next prime is 34112301442363. The reversal of 34112301442344 is 44324410321143.

34112301442344 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 2 + 301 + 4 + 4 + 2 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34112301442299 and 34112301442308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39719959 + ... + 40569689.

It is an arithmetic number, because the mean of its divisors is an integer number (1924744947840).

Almost surely, 2^{34112301442344} is an apocalyptic number.

It is an amenable number.

34112301442344 is an abundant number, since it is smaller than the sum of its proper divisors (58275456053976).

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

34112301442344 is a wasteful number, since it uses less digits than its factorization.

34112301442344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407310 (or 1407303 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 34112301442344 its reverse (44324410321143), we get a palindrome (78436711763487).

The spelling of 34112301442344 in words is "thirty-four trillion, one hundred twelve billion, three hundred one million, four hundred forty-two thousand, three hundred forty-four".