34120000000 has 160 divisors (see below), whose sum is σ = 85316383152. Its totient is φ = 13632000000.

The previous prime is 34119999983. The next prime is 34120000181. The reversal of 34120000000 is 2143.

It can be written as a sum of positive squares in 8 ways, for example, as 34109657344 + 10342656 = 184688^2 + 3216^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

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 15 ways as a sum of consecutive naturals, for example, 39999574 + ... + 40000426.

Almost surely, 2^34120000000 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 34120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42658191576).

34120000000 is an abundant number, since it is smaller than the sum of its proper divisors (51196383152).

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

34120000000 is an frugal number, since it uses more digits than its factorization.

34120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 860 counting only the distinct ones).

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

Adding to 34120000000 its reverse (2143), we get a palindrome (34120002143).

The spelling of 34120000000 in words is "thirty-four billion, one hundred twenty million", and thus it is an aban number.