34022332080 has 240 divisors, whose sum is σ = 125242341120. Its totient is φ = 8208345600.

The previous prime is 34022332079. The next prime is 34022332151. The reversal of 34022332080 is 8023322043.

34022332080 is a `hidden beast` number, since 3 + 40 + 223 + 320 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1660941 + ... + 1681299.

It is an arithmetic number, because the mean of its divisors is an integer number (521843088).

Almost surely, 2^34022332080 is an apocalyptic number.

34022332080 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 34022332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62621170560).

34022332080 is an abundant number, since it is smaller than the sum of its proper divisors (91220009040).

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

34022332080 is a wasteful number, since it uses less digits than its factorization.

34022332080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20600 (or 20591 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 34022332080 in words is "thirty-four billion, twenty-two million, three hundred thirty-two thousand, eighty".