34130442444 has 96 divisors (see below), whose sum is σ = 96227819520. Its totient is φ = 9197520192.

The previous prime is 34130442433. The next prime is 34130442449. The reversal of 34130442444 is 44424403143.

It is not an unprimeable number, because it can be changed into a prime (34130442449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 315189 + ... + 409395.

It is an arithmetic number, because the mean of its divisors is an integer number (1002373120).

Almost surely, 2^34130442444 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 34130442444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48113909760).

34130442444 is an abundant number, since it is smaller than the sum of its proper divisors (62097377076).

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

34130442444 is a wasteful number, since it uses less digits than its factorization.

34130442444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94467 (or 94465 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 34130442444 its reverse (44424403143), we get a palindrome (78554845587).

The spelling of 34130442444 in words is "thirty-four billion, one hundred thirty million, four hundred forty-two thousand, four hundred forty-four".