34127766113202 has 80 divisors (see below), whose sum is σ = 76562333623512. Its totient is φ = 11362413127680.

The previous prime is 34127766113167. The next prime is 34127766113209. The reversal of 34127766113202 is 20231166772143.

It is a happy number.

34127766113202 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 7 + 7 + 6 + 611 + 3 + 20 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34050971173041 + 76794940161 = 5835321^2 + 277119^2 .

It is not an unprimeable number, because it can be changed into a prime (34127766113209) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 551653752 + ... + 551715612.

Almost surely, 2^{34127766113202} is an apocalyptic number.

34127766113202 is an abundant number, since it is smaller than the sum of its proper divisors (42434567510310).

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

34127766113202 is a wasteful number, since it uses less digits than its factorization.

34127766113202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65865 (or 65856 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 34127766113202 in words is "thirty-four trillion, one hundred twenty-seven billion, seven hundred sixty-six million, one hundred thirteen thousand, two hundred two".