3936128 has 64 divisors (see below), whose sum is σ = 9400320. Its totient is φ = 1605120.

The previous prime is 3936113. The next prime is 3936131. The reversal of 3936128 is 8216393.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3936094 and 3936103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20513 + ... + 20703.

It is an arithmetic number, because the mean of its divisors is an integer number (146880).

Almost surely, 2^3936128 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 3936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700160).

3936128 is an abundant number, since it is smaller than the sum of its proper divisors (5464192).

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

3936128 is a wasteful number, since it uses less digits than its factorization.

3936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 3936128 is about 1983.9677416732. The cubic root of 3936128 is about 157.8906469740.

The spelling of 3936128 in words is "three million, nine hundred thirty-six thousand, one hundred twenty-eight".