3683328 has 88 divisors (see below), whose sum is σ = 10808160. Its totient is φ = 1105920.

The previous prime is 3683297. The next prime is 3683333. The reversal of 3683328 is 8233863.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33738 + ... + 33846.

It is an arithmetic number, because the mean of its divisors is an integer number (122820).

Almost surely, 2^3683328 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 3683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404080).

3683328 is an abundant number, since it is smaller than the sum of its proper divisors (7124832).

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

3683328 is a wasteful number, since it uses less digits than its factorization.

3683328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3683328 is about 1919.1998332639. The cubic root of 3683328 is about 154.4353789724.

The spelling of 3683328 in words is "three million, six hundred eighty-three thousand, three hundred twenty-eight".