34442344000 has 112 divisors (see below), whose sum is σ = 86325797376. Its totient is φ = 13610688000.

The previous prime is 34442343989. The next prime is 34442344039. The reversal of 34442344000 is 44324443.

It is a self number, because there is not a number n which added to its sum of digits gives 34442344000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 638065 + ... + 689935.

It is an arithmetic number, because the mean of its divisors is an integer number (770766048).

Almost surely, 2^34442344000 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 34442344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43162898688).

34442344000 is an abundant number, since it is smaller than the sum of its proper divisors (51883453376).

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

34442344000 is an equidigital number, since it uses as much as digits as its factorization.

34442344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51981 (or 51961 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 34442344000 its reverse (44324443), we get a palindrome (34486668443).

The spelling of 34442344000 in words is "thirty-four billion, four hundred forty-two million, three hundred forty-four thousand".