3393024 has 60 divisors (see below), whose sum is σ = 9235644. Its totient is φ = 1106944.

The previous prime is 3393023. The next prime is 3393053. The reversal of 3393024 is 4203933.

3393024 = 610² + 611² + ... + 618².

It is a super-2 number, since 2×3393024² = 23025223729152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3392985 and 3393003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3393023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72169 + ... + 72215.

Almost surely, 2^3393024 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 3393024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617822).

3393024 is an abundant number, since it is smaller than the sum of its proper divisors (5842620).

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

3393024 is an frugal number, since it uses more digits than its factorization.

3393024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 3393024 is about 1842.0162865729. The cubic root of 3393024 is about 150.2665482884.

Multiplying 3393024 by its sum of digits (24), we get a square (81432576 = 9024²).

3393024 divided by its sum of digits (24) gives a square (141376 = 376²).

Multiplying 3393024 by its product of nonzero digits (1944), we get a square (6596038656 = 81216²).

Adding to 3393024 its reverse (4203933), we get a palindrome (7596957).

The spelling of 3393024 in words is "three million, three hundred ninety-three thousand, twenty-four".