34442206080 has 128 divisors (see below), whose sum is σ = 110512512000. Its totient is φ = 9123686400.

The previous prime is 34442206039. The next prime is 34442206109. The reversal of 34442206080 is 8060224443.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 230521 + ... + 349319.

It is an arithmetic number, because the mean of its divisors is an integer number (863379000).

Almost surely, 2^34442206080 is an apocalyptic number.

34442206080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34442206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55256256000).

34442206080 is an abundant number, since it is smaller than the sum of its proper divisors (76070305920).

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

34442206080 is a wasteful number, since it uses less digits than its factorization.

34442206080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118972 (or 118960 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 34442206080 in words is "thirty-four billion, four hundred forty-two million, two hundred six thousand, eighty".