34735653743 has 16 divisors (see below), whose sum is σ = 40632658176. Its totient is φ = 29072736000.

The previous prime is 34735653703. The next prime is 34735653751.

34735653743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34735653743 - 2⁶ = 34735653679 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34735653691 and 34735653700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34735653703) 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, 1189880 + ... + 1218722.

It is an arithmetic number, because the mean of its divisors is an integer number (2539541136).

Almost surely, 2^34735653743 is an apocalyptic number.

34735653743 is a deficient number, since it is larger than the sum of its proper divisors (5897004433).

34735653743 is a wasteful number, since it uses less digits than its factorization.

34735653743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32894.

The product of its digits is 9525600, while the sum is 50.

The spelling of 34735653743 in words is "thirty-four billion, seven hundred thirty-five million, six hundred fifty-three thousand, seven hundred forty-three".