3882840 has 128 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 898560.

The previous prime is 3882799. The next prime is 3882841. The reversal of 3882840 is 482883.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29575 + ... + 29705.

It is an arithmetic number, because the mean of its divisors is an integer number (103950).

Almost surely, 2^3882840 is an apocalyptic number.

3882840 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 3882840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

3882840 is an abundant number, since it is smaller than the sum of its proper divisors (9422760).

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

3882840 is a wasteful number, since it uses less digits than its factorization.

3882840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 3882840 is about 1970.4923242682. The cubic root of 3882840 is about 157.1748899673.

The spelling of 3882840 in words is "three million, eight hundred eighty-two thousand, eight hundred forty".