34112320 has 84 divisors (see below), whose sum is σ = 89387172. Its totient is φ = 12390400.

The previous prime is 34112317. The next prime is 34112321. The reversal of 34112320 is 2321143.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8952064 + 25160256 = 2992^2 + 5016^2 .

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 = 34112294 and 34112303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34112321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38280 + ... + 39160.

It is an arithmetic number, because the mean of its divisors is an integer number (1064133).

Almost surely, 2^34112320 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 34112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44693586).

34112320 is an abundant number, since it is smaller than the sum of its proper divisors (55274852).

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

34112320 is a wasteful number, since it uses less digits than its factorization.

34112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 34112320 is about 5840.5753141279. The cubic root of 34112320 is about 324.3175264441.

Adding to 34112320 its reverse (2321143), we get a palindrome (36433463).

It can be divided in two parts, 341123 and 20, that added together give a palindrome (341143).

The spelling of 34112320 in words is "thirty-four million, one hundred twelve thousand, three hundred twenty".