3965766 has 64 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 1081920.

The previous prime is 3965723. The next prime is 3965783. The reversal of 3965766 is 6675693.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84355 + ... + 84401.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^3965766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3965766 is an abundant number, since it is smaller than the sum of its proper divisors (5711034).

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

3965766 is a wasteful number, since it uses less digits than its factorization.

3965766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its digits is 204120, while the sum is 42.

The square root of 3965766 is about 1991.4231092362. The cubic root of 3965766 is about 158.2859480239.

The spelling of 3965766 in words is "three million, nine hundred sixty-five thousand, seven hundred sixty-six".