34330120 has 96 divisors (see below), whose sum is σ = 87476760. Its totient is φ = 12108800.

The previous prime is 34330111. The next prime is 34330147. The reversal of 34330120 is 2103343.

It can be written as a sum of positive squares in 4 ways, for example, as 26275876 + 8054244 = 5126^2 + 2838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34330094 and 34330103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198354 + ... + 198526.

Almost surely, 2^34330120 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 34330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43738380).

34330120 is an abundant number, since it is smaller than the sum of its proper divisors (53146640).

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

34330120 is a wasteful number, since it uses less digits than its factorization.

34330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 34330120 is about 5859.1910704465. The cubic root of 34330120 is about 325.0062957360.

Adding to 34330120 its reverse (2103343), we get a palindrome (36433463).

The spelling of 34330120 in words is "thirty-four million, three hundred thirty thousand, one hundred twenty".