3688832 has 64 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 1503744.

The previous prime is 3688801. The next prime is 3688837. The reversal of 3688832 is 2388863.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20519 + ... + 20697.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 2^3688832 is an apocalyptic number.

3688832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3688832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

3688832 is an abundant number, since it is smaller than the sum of its proper divisors (5123968).

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

3688832 is a wasteful number, since it uses less digits than its factorization.

3688832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 3688832 is about 1920.6332289118. The cubic root of 3688832 is about 154.5122649920.

It can be divided in two parts, 36888 and 32, that multiplied together give a triangular number (1180416 = T₁₅₃₆).

The spelling of 3688832 in words is "three million, six hundred eighty-eight thousand, eight hundred thirty-two".