34007667977 has 2 divisors, whose sum is σ = 34007667978. Its totient is φ = 34007667976.

The previous prime is 34007667971. The next prime is 34007667983. The reversal of 34007667977 is 77976670043.

It is a balanced prime because it is at equal distance from previous prime (34007667971) and next prime (34007667983).

It can be written as a sum of positive squares in only one way, i.e., 27310537081 + 6697130896 = 165259^2 + 81836^2 .

It is a cyclic number.

It is not a de Polignac number, because 34007667977 - 2⁶ = 34007667913 is a prime.

It is not a weakly prime, because it can be changed into another prime (34007667971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17003833988 + 17003833989.

It is an arithmetic number, because the mean of its divisors is an integer number (17003833989).

Almost surely, 2^34007667977 is an apocalyptic number.

It is an amenable number.

34007667977 is a deficient number, since it is larger than the sum of its proper divisors (1).

34007667977 is an equidigital number, since it uses as much as digits as its factorization.

34007667977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9335088, while the sum is 56.

The spelling of 34007667977 in words is "thirty-four billion, seven million, six hundred sixty-seven thousand, nine hundred seventy-seven".