34434122422020 has 192 divisors, whose sum is σ = 102724598753280. Its totient is φ = 8588456368128.

The previous prime is 34434122421973. The next prime is 34434122422027. The reversal of 34434122422020 is 2022422143443.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34434122422027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126516441 + ... + 126788319.

It is an arithmetic number, because the mean of its divisors is an integer number (535023951840).

Almost surely, 2^{34434122422020} is an apocalyptic number.

34434122422020 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 34434122422020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51362299376640).

34434122422020 is an abundant number, since it is smaller than the sum of its proper divisors (68290476331260).

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

34434122422020 is a wasteful number, since it uses less digits than its factorization.

34434122422020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272682 (or 272680 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 34434122422020 its reverse (2022422143443), we get a palindrome (36456544565463).

The spelling of 34434122422020 in words is "thirty-four trillion, four hundred thirty-four billion, one hundred twenty-two million, four hundred twenty-two thousand, twenty".