34110406766741 has 8 divisors (see below), whose sum is σ = 34219623759000. Its totient is φ = 34001191291392.

The previous prime is 34110406766717. The next prime is 34110406766759. The reversal of 34110406766741 is 14766760401143.

It can be written as a sum of positive squares in 4 ways, for example, as 1365929812900 + 32744476953841 = 1168730^2 + 5722279^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34110406766741 is a prime.

It is a super-2 number, since 2×34110406766741² (a number of 28 digits) contains 22 as substring.

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 34110406766741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34110406766701) 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, 60047741 + ... + 60613133.

It is an arithmetic number, because the mean of its divisors is an integer number (4277452969875).

Almost surely, 2^{34110406766741} is an apocalyptic number.

It is an amenable number.

34110406766741 is a deficient number, since it is larger than the sum of its proper divisors (109216992259).

34110406766741 is a wasteful number, since it uses less digits than its factorization.

34110406766741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758455.

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 34110406766741 in words is "thirty-four trillion, one hundred ten billion, four hundred six million, seven hundred sixty-six thousand, seven hundred forty-one".