34344350144 has 168 divisors, whose sum is σ = 80152097760. Its totient is φ = 14495459328.

The previous prime is 34344350143. The next prime is 34344350203. The reversal of 34344350144 is 44105344343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34344350141) 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 23 ways as a sum of consecutive naturals, for example, 8708237 + ... + 8712179.

It is an arithmetic number, because the mean of its divisors is an integer number (477095820).

Almost surely, 2^34344350144 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 34344350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40076048880).

34344350144 is an abundant number, since it is smaller than the sum of its proper divisors (45807747616).

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

34344350144 is a wasteful number, since it uses less digits than its factorization.

34344350144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 34344350144 its reverse (44105344343), we get a palindrome (78449694487).

The spelling of 34344350144 in words is "thirty-four billion, three hundred forty-four million, three hundred fifty thousand, one hundred forty-four".