3961728 has 96 divisors (see below), whose sum is σ = 12066600. Its totient is φ = 1244160.

The previous prime is 3961723. The next prime is 3961753. The reversal of 3961728 is 8271693.

3961728 is a `hidden beast` number, since 39 + 617 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3961692 and 3961701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961721) 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, 21798 + ... + 21978.

Almost surely, 2^3961728 is an apocalyptic number.

3961728 is a gapful number since it is divisible by the number (38) 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 3961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033300).

3961728 is an abundant number, since it is smaller than the sum of its proper divisors (8104872).

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

3961728 is a wasteful number, since it uses less digits than its factorization.

3961728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3961728 is about 1990.4090031951. The cubic root of 3961728 is about 158.2322067698.

The spelling of 3961728 in words is "three million, nine hundred sixty-one thousand, seven hundred twenty-eight".