34738483743 has 16 divisors (see below), whose sum is σ = 52855352160. Its totient is φ = 22533069888.

The previous prime is 34738483739. The next prime is 34738483771.

It is a happy number.

34738483743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34738483743 - 2² = 34738483739 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34738483743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34738483783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17385630 + ... + 17387627.

It is an arithmetic number, because the mean of its divisors is an integer number (3303459510).

Almost surely, 2^34738483743 is an apocalyptic number.

34738483743 is a deficient number, since it is larger than the sum of its proper divisors (18116868417).

34738483743 is a wasteful number, since it uses less digits than its factorization.

34738483743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34773303 (or 34773297 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 34738483743 in words is "thirty-four billion, seven hundred thirty-eight million, four hundred eighty-three thousand, seven hundred forty-three".