34013314341 has 48 divisors (see below), whose sum is σ = 53672586240. Its totient is φ = 21465667440.

The previous prime is 34013314301. The next prime is 34013314343. The reversal of 34013314341 is 14341331043.

34013314341 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 3 + 314 + 341 = 666.

It is not a de Polignac number, because 34013314341 - 2¹⁴ = 34013297957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013314343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9523086 + ... + 9526656.

It is an arithmetic number, because the mean of its divisors is an integer number (1118178880).

Almost surely, 2^34013314341 is an apocalyptic number.

It is an amenable number.

34013314341 is a deficient number, since it is larger than the sum of its proper divisors (19659271899).

34013314341 is a wasteful number, since it uses less digits than its factorization.

34013314341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34013314341 its reverse (14341331043), we get a palindrome (48354645384).

The spelling of 34013314341 in words is "thirty-four billion, thirteen million, three hundred fourteen thousand, three hundred forty-one".