34509822841728 has 384 divisors, whose sum is σ = 109305663667200. Its totient is φ = 10384325038080.

The previous prime is 34509822841723. The next prime is 34509822841729. The reversal of 34509822841728 is 82714822890543.

34509822841728 is a `hidden beast` number, since 3 + 4 + 509 + 8 + 22 + 84 + 1 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×34509822841728² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34509822841723) 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, 928388583 + ... + 928425753.

It is an arithmetic number, because the mean of its divisors is an integer number (284650165800).

Almost surely, 2^{34509822841728} 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 34509822841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54652831833600).

34509822841728 is an abundant number, since it is smaller than the sum of its proper divisors (74795840825472).

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

34509822841728 is a wasteful number, since it uses less digits than its factorization.

34509822841728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38570 (or 38555 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 34509822841728 in words is "thirty-four trillion, five hundred nine billion, eight hundred twenty-two million, eight hundred forty-one thousand, seven hundred twenty-eight".