34205511420556 has 96 divisors (see below), whose sum is σ = 70004576678400. Its totient is φ = 14618092249152.

The previous prime is 34205511420533. The next prime is 34205511420557. The reversal of 34205511420556 is 65502411550243.

It is not an unprimeable number, because it can be changed into a prime (34205511420557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975805126 + ... + 975840178.

It is an arithmetic number, because the mean of its divisors is an integer number (729214340400).

Almost surely, 2^{34205511420556} 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 34205511420556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35002288339200).

34205511420556 is an abundant number, since it is smaller than the sum of its proper divisors (35799065257844).

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

34205511420556 is a wasteful number, since it uses less digits than its factorization.

34205511420556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37068 (or 37052 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 43.

Adding to 34205511420556 its reverse (65502411550243), we get a palindrome (99707922970799).

The spelling of 34205511420556 in words is "thirty-four trillion, two hundred five billion, five hundred eleven million, four hundred twenty thousand, five hundred fifty-six".