34442322120 has 256 divisors, whose sum is σ = 118993536000. Its totient is φ = 8850981888.

The previous prime is 34442322113. The next prime is 34442322121. The reversal of 34442322120 is 2122324443.

34442322120 is a `hidden beast` number, since 3 + 4 + 442 + 3 + 2 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34442322121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31225489 + ... + 31226591.

It is an arithmetic number, because the mean of its divisors is an integer number (464818500).

Almost surely, 2^34442322120 is an apocalyptic number.

34442322120 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 34442322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59496768000).

34442322120 is an abundant number, since it is smaller than the sum of its proper divisors (84551213880).

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

34442322120 is a wasteful number, since it uses less digits than its factorization.

34442322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34442322120 its reverse (2122324443), we get a palindrome (36564646563).

The spelling of 34442322120 in words is "thirty-four billion, four hundred forty-two million, three hundred twenty-two thousand, one hundred twenty".