3981312 has 90 divisors (see below), whose sum is σ = 11927188. Its totient is φ = 1327104.

The previous prime is 3981301. The next prime is 3981331. The reversal of 3981312 is 2131893.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁴ ⋅ 3! ⋅ 2!.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1327103 + 1327104 + 1327105.

Almost surely, 2^3981312 is an apocalyptic number.

3981312 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 3981312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963594).

3981312 is an abundant number, since it is smaller than the sum of its proper divisors (7945876).

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

3981312 is an frugal number, since it uses more digits than its factorization.

3981312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 5 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 3981312 is about 1995.3225303193. The cubic root of 3981312 is about 158.4925079469.

Multiplying 3981312 by its sum of digits (27), we get a square (107495424 = 10368²).

3981312 divided by its sum of digits (27) gives a square (147456 = 384²).

Multiplying 3981312 by its product of digits (1296), we get a 9-th power (5159780352 = 12⁹).

The spelling of 3981312 in words is "three million, nine hundred eighty-one thousand, three hundred twelve".