34134204120 has 128 divisors (see below), whose sum is σ = 109479651840. Its totient is φ = 8483788800.

The previous prime is 34134204089. The next prime is 34134204133. The reversal of 34134204120 is 2140243143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 128895 + ... + 291345.

It is an arithmetic number, because the mean of its divisors is an integer number (855309780).

Almost surely, 2^34134204120 is an apocalyptic number.

34134204120 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 34134204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54739825920).

34134204120 is an abundant number, since it is smaller than the sum of its proper divisors (75345447720).

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

34134204120 is a wasteful number, since it uses less digits than its factorization.

34134204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162585 (or 162581 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34134204120 its reverse (2140243143), we get a palindrome (36274447263).

The spelling of 34134204120 in words is "thirty-four billion, one hundred thirty-four million, two hundred four thousand, one hundred twenty".