3983328 has 36 divisors (see below), whose sum is σ = 11328408. Its totient is φ = 1327680.

The previous prime is 3983303. The next prime is 3983333. The reversal of 3983328 is 8233893.

It is a tau number, because it is divible by the number of its divisors (36).

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 d-powerful number, because it can be written as 3¹² + 9 + 8² + 3¹³ + 3¹³ + 2¹⁰ + 8⁶ .

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3983292 and 3983301.

It is a congruent number.

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, 6628 + ... + 7203.

It is an arithmetic number, because the mean of its divisors is an integer number (314678).

Almost surely, 2^3983328 is an apocalyptic number.

It is an amenable number.

3983328 is an abundant number, since it is smaller than the sum of its proper divisors (7345080).

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

3983328 is a wasteful number, since it uses less digits than its factorization.

3983328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13847 (or 13836 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 3983328 is about 1995.8276478694. The cubic root of 3983328 is about 158.5192551582.

The spelling of 3983328 in words is "three million, nine hundred eighty-three thousand, three hundred twenty-eight".