34810420480 has 144 divisors (see below), whose sum is σ = 91987358400. Its totient is φ = 12515655680.

The previous prime is 34810420427. The next prime is 34810420487. The reversal of 34810420480 is 8402401843.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34810420487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239231 + ... + 1267009.

It is an arithmetic number, because the mean of its divisors is an integer number (638801100).

Almost surely, 2^34810420480 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 34810420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45993679200).

34810420480 is an abundant number, since it is smaller than the sum of its proper divisors (57176937920).

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

34810420480 is a wasteful number, since it uses less digits than its factorization.

34810420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27900 (or 27886 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 34810420480 in words is "thirty-four billion, eight hundred ten million, four hundred twenty thousand, four hundred eighty".