3882400 has 72 divisors (see below), whose sum is σ = 9936864. Its totient is φ = 1478400.

The previous prime is 3882397. The next prime is 3882401. The reversal of 3882400 is 42883.

3882400 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (3882401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18295 + ... + 18505.

It is an arithmetic number, because the mean of its divisors is an integer number (138012).

Almost surely, 2^3882400 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 3882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968432).

3882400 is an abundant number, since it is smaller than the sum of its proper divisors (6054464).

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

3882400 is a wasteful number, since it uses less digits than its factorization.

3882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 3882400 is about 1970.3806738801. The cubic root of 3882400 is about 157.1689527697.

The spelling of 3882400 in words is "three million, eight hundred eighty-two thousand, four hundred".