34023315504 has 160 divisors (see below), whose sum is σ = 95984928000. Its totient is φ = 10343918592.

The previous prime is 34023315467. The next prime is 34023315509. The reversal of 34023315504 is 40551332043.

It is not an unprimeable number, because it can be changed into a prime (34023315509) 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 31 ways as a sum of consecutive naturals, for example, 10286619 + ... + 10289925.

It is an arithmetic number, because the mean of its divisors is an integer number (599905800).

Almost surely, 2^34023315504 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 34023315504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47992464000).

34023315504 is an abundant number, since it is smaller than the sum of its proper divisors (61961612496).

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

34023315504 is a wasteful number, since it uses less digits than its factorization.

34023315504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 34023315504 its reverse (40551332043), we get a palindrome (74574647547).

The spelling of 34023315504 in words is "thirty-four billion, twenty-three million, three hundred fifteen thousand, five hundred four".