3857728 has 56 divisors (see below), whose sum is σ = 8940800. Its totient is φ = 1617408.

The previous prime is 3857723. The next prime is 3857743. The reversal of 3857728 is 8277583.

3857728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a d-powerful number, because it can be written as 3¹³ + 8⁵ + 5 + 7 + 7⁴ + 2¹⁷ + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3857723) 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 7 ways as a sum of consecutive naturals, for example, 35338 + ... + 35446.

Almost surely, 2^3857728 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 3857728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470400).

3857728 is an abundant number, since it is smaller than the sum of its proper divisors (5083072).

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

3857728 is a wasteful number, since it uses less digits than its factorization.

3857728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 3857728 is about 1964.1099765543. The cubic root of 3857728 is about 156.8353176033.

The spelling of 3857728 in words is "three million, eight hundred fifty-seven thousand, seven hundred twenty-eight".