4038400 has 54 divisors (see below), whose sum is σ = 10011512. Its totient is φ = 1612800.

The previous prime is 4038379. The next prime is 4038403. The reversal of 4038400 is 48304.

4038400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6085 + ... + 6715.

Almost surely, 2^4038400 is an apocalyptic number.

4038400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005756).

4038400 is an abundant number, since it is smaller than the sum of its proper divisors (5973112).

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

4038400 is an equidigital number, since it uses as much as digits as its factorization.

4038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 638 counting only the distinct ones).

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

The square root of 4038400 is about 2009.5770699329. The cubic root of 4038400 is about 159.2464566490.

The spelling of 4038400 in words is "four million, thirty-eight thousand, four hundred".