34101110320 has 80 divisors (see below), whose sum is σ = 83495370240. Its totient is φ = 12916737792.

The previous prime is 34101110291. The next prime is 34101110321. The reversal of 34101110320 is 2301110143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 34101110294 and 34101110303.

It is not an unprimeable number, because it can be changed into a prime (34101110321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5084089 + ... + 5090791.

It is an arithmetic number, because the mean of its divisors is an integer number (1043692128).

Almost surely, 2^34101110320 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 34101110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41747685120).

34101110320 is an abundant number, since it is smaller than the sum of its proper divisors (49394259920).

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

34101110320 is a wasteful number, since it uses less digits than its factorization.

34101110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10082 (or 10076 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 34101110320 its reverse (2301110143), we get a palindrome (36402220463).

The spelling of 34101110320 in words is "thirty-four billion, one hundred one million, one hundred ten thousand, three hundred twenty".