3993444 has 144 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 988416.

The previous prime is 3993443. The next prime is 3993469. The reversal of 3993444 is 4443993.

It is a super-2 number, since 2×3993444² = 31895189962272, which contains 22 as substring.

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 a junction number, because it is equal to n+sod(n) for n = 3993399 and 3993408.

It is not an unprimeable number, because it can be changed into a prime (3993443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75322 + ... + 75374.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

Almost surely, 2^3993444 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 3993444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

3993444 is an abundant number, since it is smaller than the sum of its proper divisors (9215388).

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

3993444 is a wasteful number, since it uses less digits than its factorization.

3993444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 101 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3993444 is about 1998.3603278688. The cubic root of 3993444 is about 158.6533327621.

Adding to 3993444 its product of digits (46656), we get a square (4040100 = 2010²).

The spelling of 3993444 in words is "three million, nine hundred ninety-three thousand, four hundred forty-four".