3387072 has 112 divisors (see below), whose sum is σ = 10241280. Its totient is φ = 979968.

The previous prime is 3387061. The next prime is 3387077. The reversal of 3387072 is 2707833.

3387072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3387072³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3387077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57379 + ... + 57437.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

Almost surely, 2^3387072 is an apocalyptic number.

3387072 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 3387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120640).

3387072 is an abundant number, since it is smaller than the sum of its proper divisors (6854208).

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

3387072 is a wasteful number, since it uses less digits than its factorization.

3387072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 3387072 is about 1840.3999565312. The cubic root of 3387072 is about 150.1786316316.

The spelling of 3387072 in words is "three million, three hundred eighty-seven thousand, seventy-two".