34120344440 has 192 divisors, whose sum is σ = 97115578560. Its totient is φ = 10692864000.

The previous prime is 34120344437. The next prime is 34120344523. The reversal of 34120344440 is 4444302143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2617940 + ... + 2630940.

It is an arithmetic number, because the mean of its divisors is an integer number (505810305).

Almost surely, 2^34120344440 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 34120344440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48557789280).

34120344440 is an abundant number, since it is smaller than the sum of its proper divisors (62995234120).

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

34120344440 is a wasteful number, since it uses less digits than its factorization.

34120344440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13142 (or 13131 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 34120344440 its reverse (4444302143), we get a palindrome (38564646583).

The spelling of 34120344440 in words is "thirty-four billion, one hundred twenty million, three hundred forty-four thousand, four hundred forty".