34355011541 has 8 divisors (see below), whose sum is σ = 34466553240. Its totient is φ = 34243596288.

The previous prime is 34355011531. The next prime is 34355011573. The reversal of 34355011541 is 14511055343.

It can be written as a sum of positive squares in 4 ways, for example, as 82264900 + 34272746641 = 9070^2 + 185129^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 34355011541 - 2³⁴ = 17175142357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34355011498 and 34355011507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34355011531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528665 + ... + 590081.

It is an arithmetic number, because the mean of its divisors is an integer number (4308319155).

Almost surely, 2^34355011541 is an apocalyptic number.

It is an amenable number.

34355011541 is a deficient number, since it is larger than the sum of its proper divisors (111541699).

34355011541 is a wasteful number, since it uses less digits than its factorization.

34355011541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63223.

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 34355011541 its reverse (14511055343), we get a palindrome (48866066884).

The spelling of 34355011541 in words is "thirty-four billion, three hundred fifty-five million, eleven thousand, five hundred forty-one".