34000120000 has 840 divisors, whose sum is σ = 113977765440. Its totient is φ = 9918720000.

The previous prime is 34000119919. The next prime is 34000120009. The reversal of 34000120000 is 2100043.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (34000120009) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 409639959 + ... + 409640041.

It is an arithmetic number, because the mean of its divisors is an integer number (135687816).

Almost surely, 2^34000120000 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 34000120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56988882720).

34000120000 is an abundant number, since it is smaller than the sum of its proper divisors (79977645440).

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

34000120000 is a wasteful number, since it uses less digits than its factorization.

34000120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 34000120000 its reverse (2100043), we get a palindrome (34002220043).

The spelling of 34000120000 in words is "thirty-four billion, one hundred twenty thousand".