34122232320 has 480 divisors, whose sum is σ = 121786955136. Its totient is φ = 8142520320.

The previous prime is 34122232307. The next prime is 34122232343. The reversal of 34122232320 is 2323222143.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67837189 + ... + 67837691.

Almost surely, 2^34122232320 is an apocalyptic number.

34122232320 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 34122232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60893477568).

34122232320 is an abundant number, since it is smaller than the sum of its proper divisors (87664722816).

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

34122232320 is a wasteful number, since it uses less digits than its factorization.

34122232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34122232320 its reverse (2323222143), we get a palindrome (36445454463).

The spelling of 34122232320 in words is "thirty-four billion, one hundred twenty-two million, two hundred thirty-two thousand, three hundred twenty".