34210222100320 has 768 divisors, whose sum is σ = 100524766003200. Its totient is φ = 10742823936000.

The previous prime is 34210222100311. The next prime is 34210222100321. The reversal of 34210222100320 is 2300122201243.

It is a junction number, because it is equal to n+sod(n) for n = 34210222100291 and 34210222100300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34210222100321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27790594105 + ... + 27790595335.

It is an arithmetic number, because the mean of its divisors is an integer number (130891622400).

Almost surely, 2^{34210222100320} 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 34210222100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50262383001600).

34210222100320 is an abundant number, since it is smaller than the sum of its proper divisors (66314543902880).

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

34210222100320 is a wasteful number, since it uses less digits than its factorization.

34210222100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34210222100320 its reverse (2300122201243), we get a palindrome (36510344301563).

The spelling of 34210222100320 in words is "thirty-four trillion, two hundred ten billion, two hundred twenty-two million, one hundred thousand, three hundred twenty".