3728016 has 30 divisors (see below), whose sum is σ = 10433670. Its totient is φ = 1242624.

The previous prime is 3727991. The next prime is 3728017. The reversal of 3728016 is 6108273.

3728016 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 41616 = 1920^2 + 204^2 .

It is not an unprimeable number, because it can be changed into a prime (3728017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12801 + ... + 13088.

It is an arithmetic number, because the mean of its divisors is an integer number (347789).

Almost surely, 2^3728016 is an apocalyptic number.

3728016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3728016 is an abundant number, since it is smaller than the sum of its proper divisors (6705654).

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

3728016 is a wasteful number, since it uses less digits than its factorization.

3728016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25903 (or 25894 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3728016 is about 1930.8070851331. The cubic root of 3728016 is about 155.0574327575.

The spelling of 3728016 in words is "three million, seven hundred twenty-eight thousand, sixteen".