3363072 has 72 divisors (see below), whose sum is σ = 9320640. Its totient is φ = 1075200.

The previous prime is 3363071. The next prime is 3363089. The reversal of 3363072 is 2703633.

3363072 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3363072² = 22620506554368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3363071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22197 + ... + 22347.

Almost surely, 2^3363072 is an apocalyptic number.

3363072 is a gapful number since it is divisible by the number (32) 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 3363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660320).

3363072 is an abundant number, since it is smaller than the sum of its proper divisors (5957568).

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

3363072 is a wasteful number, since it uses less digits than its factorization.

3363072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 3363072 is about 1833.8680432354. The cubic root of 3363072 is about 149.8230803004.

The spelling of 3363072 in words is "three million, three hundred sixty-three thousand, seventy-two".