3782272 has 32 divisors (see below), whose sum is σ = 8118180. Its totient is φ = 1744896.

The previous prime is 3782257. The next prime is 3782293. The reversal of 3782272 is 2722873.

3782272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 3136 = 1944^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 528 + ... + 2800.

Almost surely, 2^3782272 is an apocalyptic number.

3782272 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 3782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059090).

3782272 is an abundant number, since it is smaller than the sum of its proper divisors (4335908).

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

3782272 is a wasteful number, since it uses less digits than its factorization.

3782272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2288 counting only the distinct ones).

The product of its digits is 9408, while the sum is 31.

The square root of 3782272 is about 1944.8064171017. The cubic root of 3782272 is about 155.8060267163.

The spelling of 3782272 in words is "three million, seven hundred eighty-two thousand, two hundred seventy-two".