3842080 has 96 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 1336320.

The previous prime is 3842077. The next prime is 3842089. The reversal of 3842080 is 802483.

It is not an unprimeable number, because it can be changed into a prime (3842089) 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, 65091 + ... + 65149.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 2^3842080 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 3842080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

3842080 is an abundant number, since it is smaller than the sum of its proper divisors (6500000).

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

3842080 is a wasteful number, since it uses less digits than its factorization.

3842080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 3842080 is about 1960.1224451549. The cubic root of 3842080 is about 156.6229745873.

The spelling of 3842080 in words is "three million, eight hundred forty-two thousand, eighty".