34422332420 has 288 divisors, whose sum is σ = 91010304000. Its totient is φ = 10878658560.

The previous prime is 34422332353. The next prime is 34422332423. The reversal of 34422332420 is 2423322443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (34422332423) 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 95 ways as a sum of consecutive naturals, for example, 78410561 + ... + 78410999.

It is an arithmetic number, because the mean of its divisors is an integer number (316008000).

Almost surely, 2^34422332420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34422332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45505152000).

34422332420 is an abundant number, since it is smaller than the sum of its proper divisors (56587971580).

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

34422332420 is a wasteful number, since it uses less digits than its factorization.

34422332420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 34422332420 its reverse (2423322443), we get a palindrome (36845654863).

The spelling of 34422332420 in words is "thirty-four billion, four hundred twenty-two million, three hundred thirty-two thousand, four hundred twenty".