3657888 has 72 divisors (see below), whose sum is σ = 11213748. Its totient is φ = 1124352.

The previous prime is 3657887. The next prime is 3657911. The reversal of 3657888 is 8887563.

3657888 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 3640464 + 17424 = 1908^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3657887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3256 + ... + 4232.

Almost surely, 2^3657888 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 3657888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606874).

3657888 is an abundant number, since it is smaller than the sum of its proper divisors (7555860).

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

3657888 is a wasteful number, since it uses less digits than its factorization.

3657888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 995 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 3657888 is about 1912.5605872756. The cubic root of 3657888 is about 154.0790059556.

The spelling of 3657888 in words is "three million, six hundred fifty-seven thousand, eight hundred eighty-eight".