3881472 has 120 divisors (see below), whose sum is σ = 12472416. Its totient is φ = 1050624.

The previous prime is 3881467. The next prime is 3881509. The reversal of 3881472 is 2741883.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204279 + ... + 204297.

Almost surely, 2^3881472 is an apocalyptic number.

3881472 is a gapful number since it is divisible by the number (32) 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 3881472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236208).

3881472 is an abundant number, since it is smaller than the sum of its proper divisors (8590944).

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

3881472 is an equidigital number, since it uses as much as digits as its factorization.

3881472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 31 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 3881472 is about 1970.1451723160. The cubic root of 3881472 is about 157.1564292095.

Multiplying 3881472 by its product of digits (10752), we get a square (41733586944 = 204288²).

3881472 divided by its product of digits (10752) gives a square (361 = 19²).

The spelling of 3881472 in words is "three million, eight hundred eighty-one thousand, four hundred seventy-two".