3283824 has 60 divisors (see below), whose sum is σ = 8919816. Its totient is φ = 1040256.

The previous prime is 3283823. The next prime is 3283829. The reversal of 3283824 is 4283823.

It is a super-3 number, since 3×3283824³ (a number of 21 digits) contains 333 as substring.

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 = 3283791 and 3283800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76347 + ... + 76389.

Almost surely, 2^3283824 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 3283824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459908).

3283824 is an abundant number, since it is smaller than the sum of its proper divisors (5635992).

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

3283824 is a wasteful number, since it uses less digits than its factorization.

3283824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 85 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 3283824 is about 1812.1324454907. The cubic root of 3283824 is about 148.6368949301.

Subtracting 3283824 from its reverse (4283823), we obtain a palindrome (999999).

The spelling of 3283824 in words is "three million, two hundred eighty-three thousand, eight hundred twenty-four".