3882800 has 60 divisors (see below), whose sum is σ = 9894456. Its totient is φ = 1459200.

The previous prime is 3882799. The next prime is 3882841. The reversal of 3882800 is 82883.

It is a super-2 number, since 2×3882800² = 30152271680000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6515 + ... + 7085.

Almost surely, 2^3882800 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 3882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947228).

3882800 is an abundant number, since it is smaller than the sum of its proper divisors (6011656).

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

3882800 is a wasteful number, since it uses less digits than its factorization.

3882800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 3882800 is about 1970.4821744944. The cubic root of 3882800 is about 157.1743502406.

The spelling of 3882800 in words is "three million, eight hundred eighty-two thousand, eight hundred".