34941258436224 has 512 divisors, whose sum is σ = 108292655808000. Its totient is φ = 9776922624000.

The previous prime is 34941258436213. The next prime is 34941258436283. The reversal of 34941258436224 is 42263485214943.

It is a happy number.

It is a super-2 number, since 2×34941258436224² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10396088304 + ... + 10396091664.

It is an arithmetic number, because the mean of its divisors is an integer number (211509093375).

Almost surely, 2^{34941258436224} 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 34941258436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54146327904000).

34941258436224 is an abundant number, since it is smaller than the sum of its proper divisors (73351397371776).

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

34941258436224 is a wasteful number, since it uses less digits than its factorization.

34941258436224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3880 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 57.

The spelling of 34941258436224 in words is "thirty-four trillion, nine hundred forty-one billion, two hundred fifty-eight million, four hundred thirty-six thousand, two hundred twenty-four".