34483220816 has 60 divisors (see below), whose sum is σ = 74111337300. Its totient is φ = 15530296320.

The previous prime is 34483220813. The next prime is 34483220831. The reversal of 34483220816 is 61802238443.

It can be written as a sum of positive squares in 2 ways, for example, as 11706374416 + 22776846400 = 108196^2 + 150920^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34483220813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129320 + ... + 292728.

It is an arithmetic number, because the mean of its divisors is an integer number (1235188955).

Almost surely, 2^34483220816 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 34483220816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37055668650).

34483220816 is an abundant number, since it is smaller than the sum of its proper divisors (39628116484).

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

34483220816 is a wasteful number, since it uses less digits than its factorization.

34483220816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163548 (or 163531 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 34483220816 in words is "thirty-four billion, four hundred eighty-three million, two hundred twenty thousand, eight hundred sixteen".