34134204420 has 144 divisors (see below), whose sum is σ = 105179688432. Its totient is φ = 8959411200.

The previous prime is 34134204407. The next prime is 34134204427. The reversal of 34134204420 is 2440243143.

It is a happy number.

34134204420 is a `hidden beast` number, since 3 + 4 + 1 + 34 + 204 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7319486916 + 26814717504 = 85554^2 + 163752^2 .

It is a super-2 number, since 2×34134204420² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34134204427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3139714 + ... + 3150566.

It is an arithmetic number, because the mean of its divisors is an integer number (730414503).

Almost surely, 2^34134204420 is an apocalyptic number.

34134204420 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 34134204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52589844216).

34134204420 is an abundant number, since it is smaller than the sum of its proper divisors (71045484012).

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

34134204420 is a wasteful number, since it uses less digits than its factorization.

34134204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11137 counting only the distinct ones).

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

Adding to 34134204420 its reverse (2440243143), we get a palindrome (36574447563).

The spelling of 34134204420 in words is "thirty-four billion, one hundred thirty-four million, two hundred four thousand, four hundred twenty".