3882672 has 60 divisors (see below), whose sum is σ = 11074440. Its totient is φ = 1269504.

The previous prime is 3882667. The next prime is 3882679. The reversal of 3882672 is 2762883.

It is a happy number.

3882672 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3882679) by changing a digit.

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, 8268 + ... + 8724.

It is an arithmetic number, because the mean of its divisors is an integer number (184574).

Almost surely, 2^3882672 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 3882672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537220).

3882672 is an abundant number, since it is smaller than the sum of its proper divisors (7191768).

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

3882672 is a wasteful number, since it uses less digits than its factorization.

3882672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 521 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3882672 is about 1970.4496948666. The cubic root of 3882672 is about 157.1726230902.

It can be divided in two parts, 3882 and 672, that added together give a palindrome (4554).

The spelling of 3882672 in words is "three million, eight hundred eighty-two thousand, six hundred seventy-two".