34790700709743 has 8 divisors (see below), whose sum is σ = 50604655577856. Its totient is φ = 21085273157400.

The previous prime is 34790700709729. The next prime is 34790700709763.

34790700709743 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34790700709743 - 2¹² = 34790700705647 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34790700709763) 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, 527131828903 + ... + 527131828968.

It is an arithmetic number, because the mean of its divisors is an integer number (6325581947232).

Almost surely, 2^{34790700709743} is an apocalyptic number.

34790700709743 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34790700709743 is a deficient number, since it is larger than the sum of its proper divisors (15813954868113).

34790700709743 is a wasteful number, since it uses less digits than its factorization.

34790700709743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054263657885.

The product of its (nonzero) digits is 28005264, while the sum is 60.

The spelling of 34790700709743 in words is "thirty-four trillion, seven hundred ninety billion, seven hundred million, seven hundred nine thousand, seven hundred forty-three".