34222264093904 has 160 divisors (see below), whose sum is σ = 73483615497600. Its totient is φ = 15376517038080.

The previous prime is 34222264093889. The next prime is 34222264093921. The reversal of 34222264093904 is 40939046222243.

It is a happy number.

It is a super-2 number, since 2×34222264093904² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649759379 + ... + 649812045.

It is an arithmetic number, because the mean of its divisors is an integer number (459272596860).

Almost surely, 2^{34222264093904} 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 34222264093904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36741807748800).

34222264093904 is an abundant number, since it is smaller than the sum of its proper divisors (39261351403696).

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

34222264093904 is a wasteful number, since it uses less digits than its factorization.

34222264093904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54181 (or 54175 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 50.

The spelling of 34222264093904 in words is "thirty-four trillion, two hundred twenty-two billion, two hundred sixty-four million, ninety-three thousand, nine hundred four".