3981824 has 80 divisors (see below), whose sum is σ = 10017216. Its totient is φ = 1536000.

The previous prime is 3981823. The next prime is 3981827. The reversal of 3981824 is 4281893.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3981821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39374 + ... + 39474.

Almost surely, 2^3981824 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 3981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008608).

3981824 is an abundant number, since it is smaller than the sum of its proper divisors (6035392).

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

3981824 is a wasteful number, since it uses less digits than its factorization.

3981824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 3981824 is about 1995.4508262546. The cubic root of 3981824 is about 158.4993017447.

It can be divided in two parts, 398 and 1824, that added together give a palindrome (2222).

The spelling of 3981824 in words is "three million, nine hundred eighty-one thousand, eight hundred twenty-four".