34400600677 has 2 divisors, whose sum is σ = 34400600678. Its totient is φ = 34400600676.

The previous prime is 34400600587. The next prime is 34400600723. The reversal of 34400600677 is 77600600443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30415708801 + 3984891876 = 174401^2 + 63126^2 .

It is a cyclic number.

It is not a de Polignac number, because 34400600677 - 2²³ = 34392212069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34400600177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17200300338 + 17200300339.

It is an arithmetic number, because the mean of its divisors is an integer number (17200300339).

Almost surely, 2^34400600677 is an apocalyptic number.

It is an amenable number.

34400600677 is a deficient number, since it is larger than the sum of its proper divisors (1).

34400600677 is an equidigital number, since it uses as much as digits as its factorization.

34400600677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 37.

The spelling of 34400600677 in words is "thirty-four billion, four hundred million, six hundred thousand, six hundred seventy-seven".