3839040 has 168 divisors, whose sum is σ = 13947648. Its totient is φ = 967680.

The previous prime is 3839039. The next prime is 3839047. The reversal of 3839040 is 409383.

3839040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3838995 and 3839013.

It is not an unprimeable number, because it can be changed into a prime (3839047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89259 + ... + 89301.

Almost surely, 2^3839040 is an apocalyptic number.

3839040 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 3839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973824).

3839040 is an abundant number, since it is smaller than the sum of its proper divisors (10108608).

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

3839040 is a wasteful number, since it uses less digits than its factorization.

3839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3839040 is about 1959.3468299410. The cubic root of 3839040 is about 156.5816550003.

The spelling of 3839040 in words is "three million, eight hundred thirty-nine thousand, forty".