3840400 has 30 divisors (see below), whose sum is σ = 9227522. Its totient is φ = 1536000.

The previous prime is 3840391. The next prime is 3840401. The reversal of 3840400 is 40483.

It can be written as a sum of positive squares in 3 ways, for example, as 571536 + 3268864 = 756^2 + 1808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840401) 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, 4401 + ... + 5200.

Almost surely, 2^3840400 is an apocalyptic number.

It is an amenable number.

3840400 is an abundant number, since it is smaller than the sum of its proper divisors (5387122).

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

3840400 is a wasteful number, since it uses less digits than its factorization.

3840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9619 (or 9608 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3840400 is about 1959.6938536414. The cubic root of 3840400 is about 156.6001427741.

Adding to 3840400 its reverse (40483), we get a palindrome (3880883).

The spelling of 3840400 in words is "three million, eight hundred forty thousand, four hundred".