3813072 has 80 divisors (see below), whose sum is σ = 10743360. Its totient is φ = 1161216.

The previous prime is 3813067. The next prime is 3813097. The reversal of 3813072 is 2703183.

3813072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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, 33688 + ... + 33800.

It is an arithmetic number, because the mean of its divisors is an integer number (134292).

Almost surely, 2^3813072 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 3813072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371680).

3813072 is an abundant number, since it is smaller than the sum of its proper divisors (6930288).

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

3813072 is a wasteful number, since it uses less digits than its factorization.

3813072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3813072 is about 1952.7088876737. The cubic root of 3813072 is about 156.2278065545.

The spelling of 3813072 in words is "three million, eight hundred thirteen thousand, seventy-two".