34390076016681 has 48 divisors (see below), whose sum is σ = 61940271040128. Its totient is φ = 17862563232000.

The previous prime is 34390076016607. The next prime is 34390076016733. The reversal of 34390076016681 is 18661067009343.

It is a happy number.

34390076016681 is a `hidden beast` number, since 3 + 439 + 0 + 0 + 76 + 0 + 1 + 66 + 81 = 666.

It is not a de Polignac number, because 34390076016681 - 2¹⁴ = 34390076000297 is a prime.

It is a super-2 number, since 2×34390076016681² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34390076016601) 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 47 ways as a sum of consecutive naturals, for example, 1794631 + ... + 8485331.

It is an arithmetic number, because the mean of its divisors is an integer number (1290422313336).

Almost surely, 2^{34390076016681} is an apocalyptic number.

It is an amenable number.

34390076016681 is a deficient number, since it is larger than the sum of its proper divisors (27550195023447).

34390076016681 is a wasteful number, since it uses less digits than its factorization.

34390076016681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6698142 (or 6698139 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 34390076016681 in words is "thirty-four trillion, three hundred ninety billion, seventy-six million, sixteen thousand, six hundred eighty-one".