3981384 has 72 divisors (see below), whose sum is σ = 11878230. Its totient is φ = 1203840.

The previous prime is 3981343. The next prime is 3981389. The reversal of 3981384 is 4831893.

3981384 = 118² + 119² + ... + 238².

It can be written as a sum of positive squares in only one way, i.e., 2722500 + 1258884 = 1650^2 + 1122^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3981389) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8484 + ... + 8940.

Almost surely, 2^3981384 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 3981384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939115).

3981384 is an abundant number, since it is smaller than the sum of its proper divisors (7896846).

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

3981384 is a wasteful number, since it uses less digits than its factorization.

3981384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 3981384 is about 1995.3405724337. The cubic root of 3981384 is about 158.4934633599.

The spelling of 3981384 in words is "three million, nine hundred eighty-one thousand, three hundred eighty-four".