34413204420 has 288 divisors, whose sum is σ = 121464645120. Its totient is φ = 7724021760.

The previous prime is 34413204373. The next prime is 34413204421. The reversal of 34413204420 is 2440231443.

It is a happy number.

34413204420 is a `hidden beast` number, since 3 + 4 + 413 + 204 + 42 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (34413204421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28000366 + ... + 28001594.

It is an arithmetic number, because the mean of its divisors is an integer number (421752240).

Almost surely, 2^34413204420 is an apocalyptic number.

34413204420 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 34413204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60732322560).

34413204420 is an abundant number, since it is smaller than the sum of its proper divisors (87051440700).

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

34413204420 is a wasteful number, since it uses less digits than its factorization.

34413204420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34413204420 its reverse (2440231443), we get a palindrome (36853435863).

The spelling of 34413204420 in words is "thirty-four billion, four hundred thirteen million, two hundred four thousand, four hundred twenty".