34120323200 has 96 divisors (see below), whose sum is σ = 84381384960. Its totient is φ = 13632988160.

The previous prime is 34120323191. The next prime is 34120323233. The reversal of 34120323200 is 232302143.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 3140177 + ... + 3151023.

It is an arithmetic number, because the mean of its divisors is an integer number (878972760).

Almost surely, 2^34120323200 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 34120323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42190692480).

34120323200 is an abundant number, since it is smaller than the sum of its proper divisors (50261061760).

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

34120323200 is a wasteful number, since it uses less digits than its factorization.

34120323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11854 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34120323200 its reverse (232302143), we get a palindrome (34352625343).

The spelling of 34120323200 in words is "thirty-four billion, one hundred twenty million, three hundred twenty-three thousand, two hundred".