3839264 has 48 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 1608960.

The previous prime is 3839261. The next prime is 3839293. The reversal of 3839264 is 4629383.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3839261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4157 + ... + 4995.

It is an arithmetic number, because the mean of its divisors is an integer number (185220).

Almost surely, 2^3839264 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 3839264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

3839264 is an abundant number, since it is smaller than the sum of its proper divisors (5051296).

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

3839264 is a wasteful number, since it uses less digits than its factorization.

3839264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 865 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 3839264 is about 1959.4039910136. The cubic root of 3839264 is about 156.5847003458.

The spelling of 3839264 in words is "three million, eight hundred thirty-nine thousand, two hundred sixty-four".