34234410440 has 64 divisors (see below), whose sum is σ = 79542302400. Its totient is φ = 13252522752.

The previous prime is 34234410439. The next prime is 34234410473. The reversal of 34234410440 is 4401443243.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 96179 + ... + 278781.

It is an arithmetic number, because the mean of its divisors is an integer number (1242848475).

Almost surely, 2^34234410440 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 34234410440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39771151200).

34234410440 is an abundant number, since it is smaller than the sum of its proper divisors (45307891960).

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

34234410440 is a wasteful number, since it uses less digits than its factorization.

34234410440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182766 (or 182762 counting only the distinct ones).

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

Adding to 34234410440 its reverse (4401443243), we get a palindrome (38635853683).

The spelling of 34234410440 in words is "thirty-four billion, two hundred thirty-four million, four hundred ten thousand, four hundred forty".