34375411457343 has 64 divisors (see below), whose sum is σ = 57973996892160. Its totient is φ = 19926988092000.

The previous prime is 34375411457311. The next prime is 34375411457369.

34375411457343 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 54 + 1 + 14 + 573 + 4 + 3 = 666.

34375411457343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34375411457343 - 2⁵ = 34375411457311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34375411457343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34375411456343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203499868 + ... + 203668718.

It is an arithmetic number, because the mean of its divisors is an integer number (905843701440).

Almost surely, 2^{34375411457343} is an apocalyptic number.

34375411457343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34375411457343 is a deficient number, since it is larger than the sum of its proper divisors (23598585434817).

34375411457343 is a wasteful number, since it uses less digits than its factorization.

34375411457343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198697 (or 198691 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 34375411457343 in words is "thirty-four trillion, three hundred seventy-five billion, four hundred eleven million, four hundred fifty-seven thousand, three hundred forty-three".