3882120 has 128 divisors (see below), whose sum is σ = 13530240. Its totient is φ = 880640.

The previous prime is 3882107. The next prime is 3882121. The reversal of 3882120 is 212883.

3882120 = T₁₂₃ + T₁₂₄ + ... + T₂₉₂.

3882120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22354 + ... + 22526.

It is an arithmetic number, because the mean of its divisors is an integer number (105705).

Almost surely, 2^3882120 is an apocalyptic number.

3882120 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 3882120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6765120).

3882120 is an abundant number, since it is smaller than the sum of its proper divisors (9648120).

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

3882120 is a wasteful number, since it uses less digits than its factorization.

3882120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3882120 is about 1970.3096203389. The cubic root of 3882120 is about 157.1651743196.

The spelling of 3882120 in words is "three million, eight hundred eighty-two thousand, one hundred twenty".