3834120 has 64 divisors (see below), whose sum is σ = 11664000. Its totient is φ = 1008128.

The previous prime is 3834109. The next prime is 3834121. The reversal of 3834120 is 214383.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3834121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10501 + ... + 10859.

It is an arithmetic number, because the mean of its divisors is an integer number (182250).

Almost surely, 2^3834120 is an apocalyptic number.

3834120 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 3834120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832000).

3834120 is an abundant number, since it is smaller than the sum of its proper divisors (7829880).

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

3834120 is a wasteful number, since it uses less digits than its factorization.

3834120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

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

The square root of 3834120 is about 1958.0909069806. The cubic root of 3834120 is about 156.5147362675.

The spelling of 3834120 in words is "three million, eight hundred thirty-four thousand, one hundred twenty".