34376641712 has 80 divisors (see below), whose sum is σ = 78241658880. Its totient is φ = 14325244416.

The previous prime is 34376641711. The next prime is 34376641759. The reversal of 34376641712 is 21714667343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34376641711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057964 + ... + 1089972.

It is an arithmetic number, because the mean of its divisors is an integer number (978020736).

Almost surely, 2^34376641712 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 34376641712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39120829440).

34376641712 is an abundant number, since it is smaller than the sum of its proper divisors (43865017168).

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

34376641712 is a wasteful number, since it uses less digits than its factorization.

34376641712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32290 (or 32284 counting only the distinct ones).

The product of its digits is 508032, while the sum is 44.

The spelling of 34376641712 in words is "thirty-four billion, three hundred seventy-six million, six hundred forty-one thousand, seven hundred twelve".