34055012304 has 160 divisors (see below), whose sum is σ = 101038771200. Its totient is φ = 10970795520.

The previous prime is 34055012293. The next prime is 34055012309. The reversal of 34055012304 is 40321055043.

34055012304 is a `hidden beast` number, since 340 + 5 + 5 + 0 + 12 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34055012309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14850582 + ... + 14852874.

It is an arithmetic number, because the mean of its divisors is an integer number (631492320).

Almost surely, 2^34055012304 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 34055012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50519385600).

34055012304 is an abundant number, since it is smaller than the sum of its proper divisors (66983758896).

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

34055012304 is a wasteful number, since it uses less digits than its factorization.

34055012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 34055012304 its reverse (40321055043), we get a palindrome (74376067347).

The spelling of 34055012304 in words is "thirty-four billion, fifty-five million, twelve thousand, three hundred four".