34738466483743 has 8 divisors (see below), whose sum is σ = 38094919934976. Its totient is φ = 31415081539800.

The previous prime is 34738466483729. The next prime is 34738466483801.

34738466483743 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 34738466483743 - 2⁵ = 34738466483711 is a prime.

It is a super-2 number, since 2×34738466483743² (a number of 28 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 (34738466483143) 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, 8267124621 + ... + 8267128822.

It is an arithmetic number, because the mean of its divisors is an integer number (4761864991872).

Almost surely, 2^{34738466483743} is an apocalyptic number.

34738466483743 is a deficient number, since it is larger than the sum of its proper divisors (3356453451233).

34738466483743 is a wasteful number, since it uses less digits than its factorization.

34738466483743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16534253645.

The product of its digits is 2341011456, while the sum is 70.

The spelling of 34738466483743 in words is "thirty-four trillion, seven hundred thirty-eight billion, four hundred sixty-six million, four hundred eighty-three thousand, seven hundred forty-three".