3404838120 has 128 divisors (see below), whose sum is σ = 10693693440. Its totient is φ = 865624320.

The previous prime is 3404838113. The next prime is 3404838163. The reversal of 3404838120 is 218384043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911697 + ... + 915423.

It is an arithmetic number, because the mean of its divisors is an integer number (83544480).

Almost surely, 2^3404838120 is an apocalyptic number.

3404838120 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 3404838120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346846720).

3404838120 is an abundant number, since it is smaller than the sum of its proper divisors (7288855320).

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

3404838120 is a wasteful number, since it uses less digits than its factorization.

3404838120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3404838120 is about 58350.9907370903. The cubic root of 3404838120 is about 1504.4074988404.

The spelling of 3404838120 in words is "three billion, four hundred four million, eight hundred thirty-eight thousand, one hundred twenty".