34422397128 has 96 divisors (see below), whose sum is σ = 112153204800. Its totient is φ = 9317337984.

The previous prime is 34422397127. The next prime is 34422397157. The reversal of 34422397128 is 82179322443.

34422397128 is a `hidden beast` number, since 344 + 2 + 239 + 71 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34422397127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1787751 + ... + 1806902.

It is an arithmetic number, because the mean of its divisors is an integer number (1168262550).

Almost surely, 2^34422397128 is an apocalyptic number.

34422397128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34422397128 is an abundant number, since it is smaller than the sum of its proper divisors (77730807672).

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

34422397128 is a wasteful number, since it uses less digits than its factorization.

34422397128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594691 (or 3594684 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 34422397128 in words is "thirty-four billion, four hundred twenty-two million, three hundred ninety-seven thousand, one hundred twenty-eight".