34431342341100 has 288 divisors, whose sum is σ = 103302728827200. Its totient is φ = 8848939008000.

The previous prime is 34431342341087. The next prime is 34431342341171. The reversal of 34431342341100 is 114324313443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 738070576 + ... + 738117224.

It is an arithmetic number, because the mean of its divisors is an integer number (358690030650).

Almost surely, 2^{34431342341100} is an apocalyptic number.

34431342341100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34431342341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51651364413600).

34431342341100 is an abundant number, since it is smaller than the sum of its proper divisors (68871386486100).

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

34431342341100 is a wasteful number, since it uses less digits than its factorization.

34431342341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47541 (or 47534 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 34431342341100 its reverse (114324313443), we get a palindrome (34545666654543).

The spelling of 34431342341100 in words is "thirty-four trillion, four hundred thirty-one billion, three hundred forty-two million, three hundred forty-one thousand, one hundred".