34000313204 has 72 divisors (see below), whose sum is σ = 70496682984. Its totient is φ = 14252832000.

The previous prime is 34000313189. The next prime is 34000313209. The reversal of 34000313204 is 40231300043.

It can be written as a sum of positive squares in 4 ways, for example, as 2323432804 + 31676880400 = 48202^2 + 177980^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000313209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10298354 + ... + 10301654.

It is an arithmetic number, because the mean of its divisors is an integer number (979120597).

Almost surely, 2^34000313204 is an apocalyptic number.

It is an amenable number.

34000313204 is an abundant number, since it is smaller than the sum of its proper divisors (36496369780).

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

34000313204 is a wasteful number, since it uses less digits than its factorization.

34000313204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4964 counting only the distinct ones).

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

Adding to 34000313204 its reverse (40231300043), we get a palindrome (74231613247).

The spelling of 34000313204 in words is "thirty-four billion, three hundred thirteen thousand, two hundred four".