3983872 has 40 divisors (see below), whose sum is σ = 8249472. Its totient is φ = 1920000.

The previous prime is 3983869. The next prime is 3983873. The reversal of 3983872 is 2783893.

It is a happy number.

It is a super-2 number, since 2×3983872² = 31742472224768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3983873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15747 + ... + 15997.

Almost surely, 2^3983872 is an apocalyptic number.

3983872 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 3983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736).

3983872 is an abundant number, since it is smaller than the sum of its proper divisors (4265600).

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

3983872 is an equidigital number, since it uses as much as digits as its factorization.

3983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 3983872 is about 1995.9639275298. The cubic root of 3983872 is about 158.5264711134.

The spelling of 3983872 in words is "three million, nine hundred eighty-three thousand, eight hundred seventy-two".