34412330520 has 128 divisors (see below), whose sum is σ = 114856358400. Its totient is φ = 9164734848.

The previous prime is 34412330507. The next prime is 34412330527. The reversal of 34412330520 is 2503321443.

34412330520 is a `hidden beast` number, since 344 + 12 + 3 + 305 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412330527) 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 31 ways as a sum of consecutive naturals, for example, 829717 + ... + 870203.

It is an arithmetic number, because the mean of its divisors is an integer number (897315300).

Almost surely, 2^34412330520 is an apocalyptic number.

34412330520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34412330520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57428179200).

34412330520 is an abundant number, since it is smaller than the sum of its proper divisors (80444027880).

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

34412330520 is a wasteful number, since it uses less digits than its factorization.

34412330520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41294 (or 41284 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34412330520 its reverse (2503321443), we get a palindrome (36915651963).

The spelling of 34412330520 in words is "thirty-four billion, four hundred twelve million, three hundred thirty thousand, five hundred twenty".