3363360 has 288 divisors, whose sum is σ = 14478912. Its totient is φ = 645120.

The previous prime is 3363343. The next prime is 3363389. The reversal of 3363360 is 633633.

It is a super-2 number, since 2×3363360² = 22624380979200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3363360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258714 + ... + 258726.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

Almost surely, 2^3363360 is an apocalyptic number.

3363360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3363360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239456).

3363360 is an abundant number, since it is smaller than the sum of its proper divisors (11115552).

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

3363360 is a wasteful number, since it uses less digits than its factorization.

3363360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

The square root of 3363360 is about 1833.9465641070. The cubic root of 3363360 is about 149.8273569276.

Adding to 3363360 its reverse (633633), we get a palindrome (3996993).

It can be divided in two parts, 3 and 363360, that added together give a palindrome (363363).

The spelling of 3363360 in words is "three million, three hundred sixty-three thousand, three hundred sixty".