3848400 has 90 divisors (see below), whose sum is σ = 13367510. Its totient is φ = 1025280.

The previous prime is 3848381. The next prime is 3848417. The reversal of 3848400 is 48483.

3848400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 207936 + 3640464 = 456^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3066 + ... + 4134.

Almost surely, 2^3848400 is an apocalyptic number.

3848400 is a gapful number since it is divisible by the number (30) 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 3848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683755).

3848400 is an abundant number, since it is smaller than the sum of its proper divisors (9519110).

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

3848400 is a wasteful number, since it uses less digits than its factorization.

3848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3848400 is about 1961.7339269126. The cubic root of 3848400 is about 156.7088061284.

The spelling of 3848400 in words is "three million, eight hundred forty-eight thousand, four hundred".