3883872 has 48 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 1237632.

The previous prime is 3883843. The next prime is 3883903. The reversal of 3883872 is 2783883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3883872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1329 + ... + 3087.

It is an arithmetic number, because the mean of its divisors is an integer number (221760).

Almost surely, 2^3883872 is an apocalyptic number.

3883872 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 3883872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

3883872 is an abundant number, since it is smaller than the sum of its proper divisors (6760608).

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

3883872 is a wasteful number, since it uses less digits than its factorization.

3883872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1787 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 3883872 is about 1970.7541703622. The cubic root of 3883872 is about 157.1888136346.

The spelling of 3883872 in words is "three million, eight hundred eighty-three thousand, eight hundred seventy-two".