34213728384 has 192 divisors, whose sum is σ = 112074580800. Its totient is φ = 9916938240.

The previous prime is 34213728371. The next prime is 34213728389. The reversal of 34213728384 is 48382731243.

34213728384 is a `hidden beast` number, since 3 + 421 + 3 + 72 + 83 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (34213728389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232762 + ... + 350150.

It is an arithmetic number, because the mean of its divisors is an integer number (583721775).

Almost surely, 2^34213728384 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 34213728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56037290400).

34213728384 is an abundant number, since it is smaller than the sum of its proper divisors (77860852416).

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

34213728384 is a wasteful number, since it uses less digits than its factorization.

34213728384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117443 (or 117428 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 34213728384 in words is "thirty-four billion, two hundred thirteen million, seven hundred twenty-eight thousand, three hundred eighty-four".