3884400 has 180 divisors, whose sum is σ = 14691768. Its totient is φ = 944640.

The previous prime is 3884399. The next prime is 3884407. The reversal of 3884400 is 44883.

3884400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

3884400 is a Rhonda number in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3884407) 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 35 ways as a sum of consecutive naturals, for example, 46759 + ... + 46841.

Almost surely, 2^3884400 is an apocalyptic number.

3884400 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 3884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7345884).

3884400 is an abundant number, since it is smaller than the sum of its proper divisors (10807368).

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

3884400 is a wasteful number, since it uses less digits than its factorization.

3884400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

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

The square root of 3884400 is about 1970.8881246788. Note that the first 3 decimals coincide. The cubic root of 3884400 is about 157.1959364177.

The spelling of 3884400 in words is "three million, eight hundred eighty-four thousand, four hundred".