3882000 has 80 divisors (see below), whose sum is σ = 12534912. Its totient is φ = 1033600.

The previous prime is 3881989. The next prime is 3882007. The reversal of 3882000 is 2883.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (3882007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5677 + ... + 6323.

Almost surely, 2^3882000 is an apocalyptic number.

3882000 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 3882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267456).

3882000 is an abundant number, since it is smaller than the sum of its proper divisors (8652912).

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

3882000 is a wasteful number, since it uses less digits than its factorization.

3882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3882000 is about 1970.2791680369. The cubic root of 3882000 is about 157.1635549282.

Adding to 3882000 its reverse (2883), we get a palindrome (3884883).

The spelling of 3882000 in words is "three million, eight hundred eighty-two thousand".