34277359304106 has 16 divisors (see below), whose sum is σ = 76171909564800. Its totient is φ = 11425786434684.

The previous prime is 34277359304033. The next prime is 34277359304113. The reversal of 34277359304106 is 60140395377243.

34277359304106 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 7 + 3 + 593 + 0 + 41 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 634765913039 = 34277359304106 / (3 + 4 + 2 + 7 + 7 + 3 + 5 + 9 + 3 + 0 + 4 + 1 + 0 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317382956466 + ... + 317382956573.

It is an arithmetic number, because the mean of its divisors is an integer number (4760744347800).

Almost surely, 2^{34277359304106} is an apocalyptic number.

34277359304106 is an abundant number, since it is smaller than the sum of its proper divisors (41894550260694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34277359304106 is a wasteful number, since it uses less digits than its factorization.

34277359304106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634765913050 (or 634765913044 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 34277359304106 in words is "thirty-four trillion, two hundred seventy-seven billion, three hundred fifty-nine million, three hundred four thousand, one hundred six".