34757844875743 has 8 divisors (see below), whose sum is σ = 37985723735760. Its totient is φ = 31541311812480.

The previous prime is 34757844875701. The next prime is 34757844875773.

34757844875743 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34757844875743 is a prime.

It is a super-4 number, since 4×34757844875743⁴ (a number of 55 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34757844875743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34757844875773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2836442778 + ... + 2836455031.

It is an arithmetic number, because the mean of its divisors is an integer number (4748215466970).

Almost surely, 2^{34757844875743} is an apocalyptic number.

34757844875743 is a deficient number, since it is larger than the sum of its proper divisors (3227878860017).

34757844875743 is a wasteful number, since it uses less digits than its factorization.

34757844875743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672898377.

The product of its digits is 8851046400, while the sum is 76.

The spelling of 34757844875743 in words is "thirty-four trillion, seven hundred fifty-seven billion, eight hundred forty-four million, eight hundred seventy-five thousand, seven hundred forty-three".