34768886743 has 8 divisors (see below), whose sum is σ = 35442910800. Its totient is φ = 34095529728.

The previous prime is 34768886701. The next prime is 34768886749.

34768886743 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 not a de Polignac number, because 34768886743 - 2²¹ = 34766789591 is a prime.

It is a super-2 number, since 2×34768886743² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768886749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60858 + ... + 270631.

It is an arithmetic number, because the mean of its divisors is an integer number (4430363850).

Almost surely, 2^34768886743 is an apocalyptic number.

34768886743 is a deficient number, since it is larger than the sum of its proper divisors (674024057).

34768886743 is a wasteful number, since it uses less digits than its factorization.

34768886743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333521.

The product of its digits is 130056192, while the sum is 64.

The spelling of 34768886743 in words is "thirty-four billion, seven hundred sixty-eight million, eight hundred eighty-six thousand, seven hundred forty-three".