34241953824 has 192 divisors, whose sum is σ = 113216342400. Its totient is φ = 9981398016.

The previous prime is 34241953813. The next prime is 34241953829. The reversal of 34241953824 is 42835914243.

34241953824 is a `hidden beast` number, since 3 + 424 + 195 + 38 + 2 + 4 = 666.

It is a super-2 number, since 2×34241953824² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34241953824.

It is not an unprimeable number, because it can be changed into a prime (34241953829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133182 + ... + 293634.

It is an arithmetic number, because the mean of its divisors is an integer number (589668450).

Almost surely, 2^34241953824 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 34241953824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56608171200).

34241953824 is an abundant number, since it is smaller than the sum of its proper divisors (78974388576).

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

34241953824 is a wasteful number, since it uses less digits than its factorization.

34241953824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160504 (or 160490 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 34241953824 in words is "thirty-four billion, two hundred forty-one million, nine hundred fifty-three thousand, eight hundred twenty-four".