3689928 has 64 divisors (see below), whose sum is σ = 11188800. Its totient is φ = 1117440.

The previous prime is 3689927. The next prime is 3689947. The reversal of 3689928 is 8299863.

3689928 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3689927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1600 + ... + 3152.

It is an arithmetic number, because the mean of its divisors is an integer number (174825).

Almost surely, 2^3689928 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 3689928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594400).

3689928 is an abundant number, since it is smaller than the sum of its proper divisors (7498872).

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

3689928 is a wasteful number, since it uses less digits than its factorization.

3689928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1569 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3689928 is about 1920.9185302870. The cubic root of 3689928 is about 154.5275660117.

It can be divided in two parts, 368 and 9928, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 3689928 in words is "three million, six hundred eighty-nine thousand, nine hundred twenty-eight".