34127827008 has 112 divisors (see below), whose sum is σ = 98554397760. Its totient is φ = 10336614400.

The previous prime is 34127827007. The next prime is 34127827021. The reversal of 34127827008 is 80072872143.

It is not an unprimeable number, because it can be changed into a prime (34127827001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8067838 + ... + 8072066.

It is an arithmetic number, because the mean of its divisors is an integer number (879949980).

Almost surely, 2^34127827008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34127827008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49277198880).

34127827008 is an abundant number, since it is smaller than the sum of its proper divisors (64426570752).

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

34127827008 is a wasteful number, since it uses less digits than its factorization.

34127827008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8076 (or 8066 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 34127827008 in words is "thirty-four billion, one hundred twenty-seven million, eight hundred twenty-seven thousand, eight".