34364011046343 has 8 divisors (see below), whose sum is σ = 49984016067456. Its totient is φ = 20826673361400.

The previous prime is 34364011046341. The next prime is 34364011046357.

34364011046343 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 34364011046343 - 2¹ = 34364011046341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34364011046295 and 34364011046304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34364011046341) 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, 520666834003 + ... + 520666834068.

It is an arithmetic number, because the mean of its divisors is an integer number (6248002008432).

Almost surely, 2^{34364011046343} is an apocalyptic number.

34364011046343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34364011046343 is a deficient number, since it is larger than the sum of its proper divisors (15620005021113).

34364011046343 is a wasteful number, since it uses less digits than its factorization.

34364011046343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041333668085.

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 34364011046343 in words is "thirty-four trillion, three hundred sixty-four billion, eleven million, forty-six thousand, three hundred forty-three".