34123320 has 192 divisors, whose sum is σ = 138378240. Its totient is φ = 7084800.

The previous prime is 34123319. The next prime is 34123333. The reversal of 34123320 is 2332143.

34123320 is a `hidden beast` number, since 341 + 2 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34123293 and 34123302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27105 + ... + 28335.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 2^34123320 is an apocalyptic number.

34123320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

34123320 is an abundant number, since it is smaller than the sum of its proper divisors (104254920).

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

34123320 is a wasteful number, since it uses less digits than its factorization.

34123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34123320 is about 5841.5169262787. The cubic root of 34123320 is about 324.3523829553.

Adding to 34123320 its reverse (2332143), we get a palindrome (36455463).

It can be divided in two parts, 34123 and 320, that added together give a palindrome (34443).

The spelling of 34123320 in words is "thirty-four million, one hundred twenty-three thousand, three hundred twenty".