3693888 has 126 divisors (see below), whose sum is σ = 11857482. Its totient is φ = 1098240.

The previous prime is 3693883. The next prime is 3693953. The reversal of 3693888 is 8883963.

It can be written as a sum of positive squares in only one way, i.e., 3415104 + 278784 = 1848^2 + 528^2 .

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3693881) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69670 + ... + 69722.

It is an arithmetic number, because the mean of its divisors is an integer number (94107).

Almost surely, 2^3693888 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 3693888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928741).

3693888 is an abundant number, since it is smaller than the sum of its proper divisors (8163594).

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

3693888 is a wasteful number, since it uses less digits than its factorization.

3693888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3693888 is about 1921.9490107701. The cubic root of 3693888 is about 154.5828254807.

The spelling of 3693888 in words is "three million, six hundred ninety-three thousand, eight hundred eighty-eight".