34400770677 has 96 divisors (see below), whose sum is σ = 62798561280. Its totient is φ = 17662631040.

The previous prime is 34400770669. The next prime is 34400770697. The reversal of 34400770677 is 77607700443.

It is not a de Polignac number, because 34400770677 - 2³ = 34400770669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400770637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7349824 + ... + 7354502.

It is an arithmetic number, because the mean of its divisors is an integer number (654151680).

Almost surely, 2^34400770677 is an apocalyptic number.

It is an amenable number.

34400770677 is a deficient number, since it is larger than the sum of its proper divisors (28397790603).

34400770677 is a wasteful number, since it uses less digits than its factorization.

34400770677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 34400770677 in words is "thirty-four billion, four hundred million, seven hundred seventy thousand, six hundred seventy-seven".