34288610944 has 128 divisors (see below), whose sum is σ = 82554393600. Its totient is φ = 13873766400.

The previous prime is 34288610891. The next prime is 34288610947. The reversal of 34288610944 is 44901688243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34288610944² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34288610947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1123762 + ... + 1153870.

It is an arithmetic number, because the mean of its divisors is an integer number (644956200).

Almost surely, 2^34288610944 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 34288610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277196800).

34288610944 is an abundant number, since it is smaller than the sum of its proper divisors (48265782656).

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

34288610944 is a wasteful number, since it uses less digits than its factorization.

34288610944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30202 (or 30190 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 34288610944 in words is "thirty-four billion, two hundred eighty-eight million, six hundred ten thousand, nine hundred forty-four".