34422585120 has 384 divisors, whose sum is σ = 150209095680. Its totient is φ = 7152675840.

The previous prime is 34422585077. The next prime is 34422585137. The reversal of 34422585120 is 2158522443.

34422585120 is a `hidden beast` number, since 3 + 44 + 22 + 585 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 280899 + ... + 384381.

It is an arithmetic number, because the mean of its divisors is an integer number (391169520).

Almost surely, 2^34422585120 is an apocalyptic number.

34422585120 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 34422585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75104547840).

34422585120 is an abundant number, since it is smaller than the sum of its proper divisors (115786510560).

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

34422585120 is a wasteful number, since it uses less digits than its factorization.

34422585120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103525 (or 103511 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 34422585120 in words is "thirty-four billion, four hundred twenty-two million, five hundred eighty-five thousand, one hundred twenty".