34022106720 has 144 divisors (see below), whose sum is σ = 132686255520. Its totient is φ = 7776479232.

The previous prime is 34022106719. The next prime is 34022106731. The reversal of 34022106720 is 2760122043.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677525 + ... + 1697684.

It is an arithmetic number, because the mean of its divisors is an integer number (921432330).

Almost surely, 2^34022106720 is an apocalyptic number.

34022106720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34022106720 is an abundant number, since it is smaller than the sum of its proper divisors (98664148800).

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

34022106720 is a wasteful number, since it uses less digits than its factorization.

34022106720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375237 (or 3375226 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 34022106720 its reverse (2760122043), we get a palindrome (36782228763).

The spelling of 34022106720 in words is "thirty-four billion, twenty-two million, one hundred six thousand, seven hundred twenty".