34022244304040 has 64 divisors (see below), whose sum is σ = 77475870480960. Its totient is φ = 13444322306560.

The previous prime is 34022244303947. The next prime is 34022244304067. The reversal of 34022244304040 is 4040344222043.

It is a junction number, because it is equal to n+sod(n) for n = 34022244303988 and 34022244304006.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76406927 + ... + 76850913.

It is an arithmetic number, because the mean of its divisors is an integer number (1210560476265).

Almost surely, 2^{34022244304040} is an apocalyptic number.

It is an amenable number.

34022244304040 is an abundant number, since it is smaller than the sum of its proper divisors (43453626176920).

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

34022244304040 is a wasteful number, since it uses less digits than its factorization.

34022244304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467162 (or 467158 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 34022244304040 its reverse (4040344222043), we get a palindrome (38062588526083).

The spelling of 34022244304040 in words is "thirty-four trillion, twenty-two billion, two hundred forty-four million, three hundred four thousand, forty".