34308120 has 256 divisors, whose sum is σ = 132710400. Its totient is φ = 6888960.

The previous prime is 34308107. The next prime is 34308151. The reversal of 34308120 is 2180343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 434241 + ... + 434319.

It is an arithmetic number, because the mean of its divisors is an integer number (518400).

Almost surely, 2^34308120 is an apocalyptic number.

34308120 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 34308120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66355200).

34308120 is an abundant number, since it is smaller than the sum of its proper divisors (98402280).

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

34308120 is a wasteful number, since it uses less digits than its factorization.

34308120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 34308120 is about 5857.3133773087. The cubic root of 34308120 is about 324.9368555825.

Adding to 34308120 its reverse (2180343), we get a palindrome (36488463).

The spelling of 34308120 in words is "thirty-four million, three hundred eight thousand, one hundred twenty".