34434000100 has 144 divisors (see below), whose sum is σ = 79282925568. Its totient is φ = 12965420160.

The previous prime is 34434000079. The next prime is 34434000109. The reversal of 34434000100 is 100043443.

It is not an unprimeable number, because it can be changed into a prime (34434000109) 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 47 ways as a sum of consecutive naturals, for example, 13539429 + ... + 13541971.

It is an arithmetic number, because the mean of its divisors is an integer number (550575872).

Almost surely, 2^34434000100 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 34434000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39641462784).

34434000100 is an abundant number, since it is smaller than the sum of its proper divisors (44848925468).

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

34434000100 is a wasteful number, since it uses less digits than its factorization.

34434000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 34434000100 its reverse (100043443), we get a palindrome (34534043543).

The spelling of 34434000100 in words is "thirty-four billion, four hundred thirty-four million, one hundred", and thus it is an aban number.