34098120 has 144 divisors (see below), whose sum is σ = 128978460. Its totient is φ = 7789824.

The previous prime is 34098091. The next prime is 34098149. The reversal of 34098120 is 2189043.

It is an interprime number because it is at equal distance from previous prime (34098091) and next prime (34098149).

It can be written as a sum of positive squares in 2 ways, for example, as 34082244 + 15876 = 5838^2 + 126^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16674 + ... + 18606.

Almost surely, 2^34098120 is an apocalyptic number.

34098120 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 34098120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64489230).

34098120 is an abundant number, since it is smaller than the sum of its proper divisors (94880340).

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

34098120 is a wasteful number, since it uses less digits than its factorization.

34098120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 34098120 is about 5839.3595539237. The cubic root of 34098120 is about 324.2725187749.

The spelling of 34098120 in words is "thirty-four million, ninety-eight thousand, one hundred twenty".