3838400 has 42 divisors (see below), whose sum is σ = 9448800. Its totient is φ = 1534720.

The previous prime is 3838397. The next prime is 3838409. The reversal of 3838400 is 48383.

It is a self number, because there is not a number n which added to its sum of digits gives 3838400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 401 + ... + 2799.

Almost surely, 2^3838400 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 3838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724400).

3838400 is an abundant number, since it is smaller than the sum of its proper divisors (5610400).

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

3838400 is a wasteful number, since it uses less digits than its factorization.

3838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 3838400 is about 1959.1835034014. The cubic root of 3838400 is about 156.5729533607.

The spelling of 3838400 in words is "three million, eight hundred thirty-eight thousand, four hundred".