34204224012 has 72 divisors (see below), whose sum is σ = 93228871680. Its totient is φ = 9731705760.

The previous prime is 34204224011. The next prime is 34204224017. The reversal of 34204224012 is 21042240243.

It is a super-2 number, since 2×34204224012² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34204224011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18837 + ... + 262227.

It is an arithmetic number, because the mean of its divisors is an integer number (1294845440).

Almost surely, 2^34204224012 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 34204224012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46614435840).

34204224012 is an abundant number, since it is smaller than the sum of its proper divisors (59024647668).

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

34204224012 is a wasteful number, since it uses less digits than its factorization.

34204224012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243651 (or 243642 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34204224012 its reverse (21042240243), we get a palindrome (55246464255).

The spelling of 34204224012 in words is "thirty-four billion, two hundred four million, two hundred twenty-four thousand, twelve".