34422681728 has 120 divisors (see below), whose sum is σ = 74080833615. Its totient is φ = 15931956480.

The previous prime is 34422681721. The next prime is 34422681739. The reversal of 34422681728 is 82718622443.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 17211340864 + 17211340864 = 131192^2 + 131192^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=131192.

It is a Duffinian number.

Its product of digits (1032192) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (34422681721) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1110409073 + ... + 1110409103.

Almost surely, 2^34422681728 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 34422681728

34422681728 is an abundant number, since it is smaller than the sum of its proper divisors (39658151887).

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

34422681728 is an frugal number, since it uses more digits than its factorization.

34422681728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 56 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 47.

The spelling of 34422681728 in words is "thirty-four billion, four hundred twenty-two million, six hundred eighty-one thousand, seven hundred twenty-eight".