34024133521116 has 144 divisors (see below), whose sum is σ = 90097344949248. Its totient is φ = 10805680195200.

The previous prime is 34024133521057. The next prime is 34024133521117. The reversal of 34024133521116 is 61112533142043.

34024133521116 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 4 + 13 + 3 + 521 + 116 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34024133521117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1094324731 + ... + 1094355821.

It is an arithmetic number, because the mean of its divisors is an integer number (625676006592).

Almost surely, 2^{34024133521116} is an apocalyptic number.

34024133521116 is a gapful number since it is divisible by the number (36) 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 34024133521116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45048672474624).

34024133521116 is an abundant number, since it is smaller than the sum of its proper divisors (56073211428132).

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

34024133521116 is a wasteful number, since it uses less digits than its factorization.

34024133521116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36272 (or 36267 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 34024133521116 its reverse (61112533142043), we get a palindrome (95136666663159).

The spelling of 34024133521116 in words is "thirty-four trillion, twenty-four billion, one hundred thirty-three million, five hundred twenty-one thousand, one hundred sixteen".