34022332340304 has 80 divisors (see below), whose sum is σ = 109578421056000. Its totient is φ = 8836969438080.

The previous prime is 34022332340281. The next prime is 34022332340329. The reversal of 34022332340304 is 40304323322043.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4602584554 + ... + 4602591945.

It is an arithmetic number, because the mean of its divisors is an integer number (1369730263200).

Almost surely, 2^{34022332340304} is an apocalyptic number.

It is an amenable number.

34022332340304 is an abundant number, since it is smaller than the sum of its proper divisors (75556088715696).

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

34022332340304 is a wasteful number, since it uses less digits than its factorization.

34022332340304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205176528 (or 9205176522 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 33.

Adding to 34022332340304 its reverse (40304323322043), we get a palindrome (74326655662347).

The spelling of 34022332340304 in words is "thirty-four trillion, twenty-two billion, three hundred thirty-two million, three hundred forty thousand, three hundred four".