34382671657 has 2 divisors, whose sum is σ = 34382671658. Its totient is φ = 34382671656.

The previous prime is 34382671639. The next prime is 34382671667. The reversal of 34382671657 is 75617628343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34208721936 + 173949721 = 184956^2 + 13189^2 .

It is a cyclic number.

It is not a de Polignac number, because 34382671657 - 2³¹ = 32235188009 is a prime.

It is a super-2 number, since 2×34382671657² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34382671637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17191335828 + 17191335829.

It is an arithmetic number, because the mean of its divisors is an integer number (17191335829).

Almost surely, 2^34382671657 is an apocalyptic number.

It is an amenable number.

34382671657 is a deficient number, since it is larger than the sum of its proper divisors (1).

34382671657 is an equidigital number, since it uses as much as digits as its factorization.

34382671657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5080320, while the sum is 52.

The spelling of 34382671657 in words is "thirty-four billion, three hundred eighty-two million, six hundred seventy-one thousand, six hundred fifty-seven".