34424420420 has 96 divisors (see below), whose sum is σ = 80892453600. Its totient is φ = 12218056704.

The previous prime is 34424420411. The next prime is 34424420441. The reversal of 34424420420 is 2402442443.

It can be written as a sum of positive squares in 16 ways, for example, as 9783583744 + 24640836676 = 98912^2 + 156974^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1716692 + ... + 1736628.

It is an arithmetic number, because the mean of its divisors is an integer number (842629725).

Almost surely, 2^34424420420 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 34424420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40446226800).

34424420420 is an abundant number, since it is smaller than the sum of its proper divisors (46468033180).

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

34424420420 is a wasteful number, since it uses less digits than its factorization.

34424420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20217 (or 20215 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 34424420420 its reverse (2402442443), we get a palindrome (36826862863).

The spelling of 34424420420 in words is "thirty-four billion, four hundred twenty-four million, four hundred twenty thousand, four hundred twenty".