3965328 has 80 divisors (see below), whose sum is σ = 11636160. Its totient is φ = 1292544.

The previous prime is 3965317. The next prime is 3965341. The reversal of 3965328 is 8235693.

It is a super-2 number, since 2×3965328² = 31447652295168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3965292 and 3965301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28876 + ... + 29012.

It is an arithmetic number, because the mean of its divisors is an integer number (145452).

Almost surely, 2^3965328 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 3965328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818080).

3965328 is an abundant number, since it is smaller than the sum of its proper divisors (7670832).

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

3965328 is a wasteful number, since it uses less digits than its factorization.

3965328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3965328 is about 1991.3131345923. The cubic root of 3965328 is about 158.2801204992.

The spelling of 3965328 in words is "three million, nine hundred sixty-five thousand, three hundred twenty-eight".