34444112304 has 160 divisors (see below), whose sum is σ = 107756277760. Its totient is φ = 9261216000.

The previous prime is 34444112299. The next prime is 34444112321. The reversal of 34444112304 is 40321144443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 946119 + ... + 981849.

It is an arithmetic number, because the mean of its divisors is an integer number (673476736).

Almost surely, 2^34444112304 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 34444112304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53878138880).

34444112304 is an abundant number, since it is smaller than the sum of its proper divisors (73312165456).

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

34444112304 is a wasteful number, since it uses less digits than its factorization.

34444112304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35919 (or 35913 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34444112304 its reverse (40321144443), we get a palindrome (74765256747).

The spelling of 34444112304 in words is "thirty-four billion, four hundred forty-four million, one hundred twelve thousand, three hundred four".