3728864 has 24 divisors (see below), whose sum is σ = 7728840. Its totient is φ = 1766016.

The previous prime is 3728863. The next prime is 3728867. The reversal of 3728864 is 4688273.

3728864 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 (38).

It is a d-powerful number, because it can be written as 3¹³ + 7 + 2²¹ + 8³ + 8⁵ + 6 + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3728861) 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 3 ways as a sum of consecutive naturals, for example, 2459 + ... + 3674.

It is an arithmetic number, because the mean of its divisors is an integer number (322035).

Almost surely, 2^3728864 is an apocalyptic number.

It is an amenable number.

3728864 is an abundant number, since it is smaller than the sum of its proper divisors (3999976).

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

3728864 is a wasteful number, since it uses less digits than its factorization.

3728864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162 (or 6154 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 3728864 is about 1931.0266699349. The cubic root of 3728864 is about 155.0691886740.

The spelling of 3728864 in words is "three million, seven hundred twenty-eight thousand, eight hundred sixty-four".