3808400 has 30 divisors (see below), whose sum is σ = 9150642. Its totient is φ = 1523200.

The previous prime is 3808397. The next prime is 3808403. The reversal of 3808400 is 48083.

It is an interprime number because it is at equal distance from previous prime (3808397) and next prime (3808403).

It can be written as a sum of positive squares in 3 ways, for example, as 183184 + 3625216 = 428^2 + 1904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3808403) 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, 4361 + ... + 5160.

Almost surely, 2^3808400 is an apocalyptic number.

It is an amenable number.

3808400 is an abundant number, since it is smaller than the sum of its proper divisors (5342242).

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

3808400 is a wasteful number, since it uses less digits than its factorization.

3808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9539 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 3808400 is about 1951.5122341405. The cubic root of 3808400 is about 156.1639739790.

The spelling of 3808400 in words is "three million, eight hundred eight thousand, four hundred".