34374137341 has 8 divisors (see below), whose sum is σ = 34569066168. Its totient is φ = 34179264000.

The previous prime is 34374137327. The next prime is 34374137383. The reversal of 34374137341 is 14373147343.

It can be written as a sum of positive squares in 4 ways, for example, as 1306533316 + 33067604025 = 36146^2 + 181845^2 .

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 34374137341 - 2¹¹ = 34374135293 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34374137294 and 34374137303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34374132341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2476581 + ... + 2490421.

It is an arithmetic number, because the mean of its divisors is an integer number (4321133271).

Almost surely, 2^34374137341 is an apocalyptic number.

It is an amenable number.

34374137341 is a deficient number, since it is larger than the sum of its proper divisors (194928827).

34374137341 is a wasteful number, since it uses less digits than its factorization.

34374137341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27743.

The product of its digits is 254016, while the sum is 40.

The spelling of 34374137341 in words is "thirty-four billion, three hundred seventy-four million, one hundred thirty-seven thousand, three hundred forty-one".