3798400 has 48 divisors (see below), whose sum is σ = 9391140. Its totient is φ = 1518080.

The previous prime is 3798397. The next prime is 3798407. The reversal of 3798400 is 48973.

It is a happy number.

3798400 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 (3798407) 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, 2607 + ... + 3793.

Almost surely, 2^3798400 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 3798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695570).

3798400 is an abundant number, since it is smaller than the sum of its proper divisors (5592740).

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

3798400 is a wasteful number, since it uses less digits than its factorization.

3798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 3798400 is about 1948.9484344128. The cubic root of 3798400 is about 156.0271703716.

The spelling of 3798400 in words is "three million, seven hundred ninety-eight thousand, four hundred".