34816128070724 has 768 divisors, whose sum is σ = 92285435289600. Its totient is φ = 11029627699200.

The previous prime is 34816128070709. The next prime is 34816128070727. The reversal of 34816128070724 is 42707082161843.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34816128070727) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52671902954 + ... + 52671903614.

It is an arithmetic number, because the mean of its divisors is an integer number (120163327200).

Almost surely, 2^{34816128070724} is an apocalyptic number.

34816128070724 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 34816128070724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46142717644800).

34816128070724 is an abundant number, since it is smaller than the sum of its proper divisors (57469307218876).

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

34816128070724 is a wasteful number, since it uses less digits than its factorization.

34816128070724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 34816128070724 in words is "thirty-four trillion, eight hundred sixteen billion, one hundred twenty-eight million, seventy thousand, seven hundred twenty-four".