34040666740337 has 8 divisors (see below), whose sum is σ = 34162010350632. Its totient is φ = 33919324566400.

The previous prime is 34040666740313. The next prime is 34040666740369. The reversal of 34040666740337 is 73304766604043.

It can be written as a sum of positive squares in 4 ways, for example, as 14468103260416 + 19572563479921 = 3803696^2 + 4424089^2 .

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 34040666740337 - 2²⁴ = 34040649963121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34040666740237) 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, 75978503 + ... + 76425219.

It is an arithmetic number, because the mean of its divisors is an integer number (4270251293829).

Almost surely, 2^{34040666740337} is an apocalyptic number.

It is an amenable number.

34040666740337 is a deficient number, since it is larger than the sum of its proper divisors (121343610295).

34040666740337 is a wasteful number, since it uses less digits than its factorization.

34040666740337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718179.

The product of its (nonzero) digits is 18289152, while the sum is 53.

The spelling of 34040666740337 in words is "thirty-four trillion, forty billion, six hundred sixty-six million, seven hundred forty thousand, three hundred thirty-seven".