34101320 has 128 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 11304960.

The previous prime is 34101311. The next prime is 34101349. The reversal of 34101320 is 2310143.

It is a junction number, because it is equal to n+sod(n) for n = 34101295 and 34101304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351512 + ... + 351608.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 2^34101320 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 34101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

34101320 is an abundant number, since it is smaller than the sum of its proper divisors (57344440).

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

34101320 is a wasteful number, since it uses less digits than its factorization.

34101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 34101320 is about 5839.6335501468. The cubic root of 34101320 is about 324.2826624387.

Adding to 34101320 its reverse (2310143), we get a palindrome (36411463).

The spelling of 34101320 in words is "thirty-four million, one hundred one thousand, three hundred twenty".