3838240 has 96 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1250304.

The previous prime is 3838231. The next prime is 3838253. The reversal of 3838240 is 428383.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3838199 and 3838208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25686 + ... + 25834.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 2^3838240 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 3838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

3838240 is an abundant number, since it is smaller than the sum of its proper divisors (7048160).

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

3838240 is a wasteful number, since it uses less digits than its factorization.

3838240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 3838240 is about 1959.1426696389. The cubic root of 3838240 is about 156.5707777996.

The spelling of 3838240 in words is "three million, eight hundred thirty-eight thousand, two hundred forty".