34789384344 has 256 divisors, whose sum is σ = 107432801280. Its totient is φ = 9237381120.

The previous prime is 34789384297. The next prime is 34789384363. The reversal of 34789384344 is 44348398743.

It is a super-3 number, since 3×34789384344³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

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, 10812624 + ... + 10815840.

It is an arithmetic number, because the mean of its divisors is an integer number (419659380).

Almost surely, 2^34789384344 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 34789384344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53716400640).

34789384344 is an abundant number, since it is smaller than the sum of its proper divisors (72643416936).

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

34789384344 is a wasteful number, since it uses less digits than its factorization.

34789384344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3406 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 57.

The spelling of 34789384344 in words is "thirty-four billion, seven hundred eighty-nine million, three hundred eighty-four thousand, three hundred forty-four".