34224101344 has 72 divisors (see below), whose sum is σ = 73510499160. Its totient is φ = 15670020096.

The previous prime is 34224101323. The next prime is 34224101357. The reversal of 34224101344 is 44310142243.

It is a super-2 number, since 2×34224101344² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292167 + ... + 392185.

It is an arithmetic number, because the mean of its divisors is an integer number (1020979155).

Almost surely, 2^34224101344 is an apocalyptic number.

34224101344 is a gapful number since it is divisible by the number (34) 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 34224101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36755249580).

34224101344 is an abundant number, since it is smaller than the sum of its proper divisors (39286397816).

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

34224101344 is a wasteful number, since it uses less digits than its factorization.

34224101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100100 (or 100075 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34224101344 its reverse (44310142243), we get a palindrome (78534243587).

The spelling of 34224101344 in words is "thirty-four billion, two hundred twenty-four million, one hundred one thousand, three hundred forty-four".