34748488484743 has 24 divisors (see below), whose sum is σ = 39061048299840. Its totient is φ = 30880858008000.

The previous prime is 34748488484719. The next prime is 34748488484797.

34748488484743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34748488484743 - 2²⁹ = 34747951613831 is a prime.

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 34748488484743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34748488404743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17030380 + ... + 18961297.

It is an arithmetic number, because the mean of its divisors is an integer number (1627543679160).

Almost surely, 2^{34748488484743} is an apocalyptic number.

34748488484743 is a deficient number, since it is larger than the sum of its proper divisors (4312559815097).

34748488484743 is a wasteful number, since it uses less digits than its factorization.

34748488484743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35991879 (or 35991868 counting only the distinct ones).

The product of its digits is 7398752256, while the sum is 76.

The spelling of 34748488484743 in words is "thirty-four trillion, seven hundred forty-eight billion, four hundred eighty-eight million, four hundred eighty-four thousand, seven hundred forty-three".