34830120 has 128 divisors (see below), whose sum is σ = 114307200. Its totient is φ = 8438784.

The previous prime is 34830109. The next prime is 34830163. The reversal of 34830120 is 2103843.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129346 + ... + 129614.

It is an arithmetic number, because the mean of its divisors is an integer number (893025).

Almost surely, 2^34830120 is an apocalyptic number.

34830120 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 34830120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57153600).

34830120 is an abundant number, since it is smaller than the sum of its proper divisors (79477080).

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

34830120 is a wasteful number, since it uses less digits than its factorization.

34830120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

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

The square root of 34830120 is about 5901.7048384344. The cubic root of 34830120 is about 326.5765450870.

Adding to 34830120 its reverse (2103843), we get a palindrome (36933963).

The spelling of 34830120 in words is "thirty-four million, eight hundred thirty thousand, one hundred twenty".