34424410020 has 576 divisors, whose sum is σ = 135348869376. Its totient is φ = 6421524480.

The previous prime is 34424410003. The next prime is 34424410039. The reversal of 34424410020 is 2001442443.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15554434 + ... + 15556646.

It is an arithmetic number, because the mean of its divisors is an integer number (234980676).

Almost surely, 2^34424410020 is an apocalyptic number.

34424410020 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 34424410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67674434688).

34424410020 is an abundant number, since it is smaller than the sum of its proper divisors (100924459356).

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

34424410020 is a wasteful number, since it uses less digits than its factorization.

34424410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34424410020 its reverse (2001442443), we get a palindrome (36425852463).

It can be divided in two parts, 34424 and 410020, that added together give a palindrome (444444).

The spelling of 34424410020 in words is "thirty-four billion, four hundred twenty-four million, four hundred ten thousand, twenty".