34442410000 has 100 divisors (see below), whose sum is σ = 83489987152. Its totient is φ = 13760208000.

The previous prime is 34442409983. The next prime is 34442410003. The reversal of 34442410000 is 1424443.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (34442410003) 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 19 ways as a sum of consecutive naturals, for example, 11228467 + ... + 11231533.

Almost surely, 2^34442410000 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 34442410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41744993576).

34442410000 is an abundant number, since it is smaller than the sum of its proper divisors (49047577152).

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

34442410000 is a wasteful number, since it uses less digits than its factorization.

34442410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 34442410000 its reverse (1424443), we get a palindrome (34443834443).

The spelling of 34442410000 in words is "thirty-four billion, four hundred forty-two million, four hundred ten thousand".