3966336 has 96 divisors (see below), whose sum is σ = 12490920. Its totient is φ = 1198080.

The previous prime is 3966331. The next prime is 3966349. The reversal of 3966336 is 6336693.

3966336 is a nontrivial binomial coefficient, being equal to C(2817, 2).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3966336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966331) 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, 12516 + ... + 12828.

Almost surely, 2^3966336 is an apocalyptic number.

3966336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3966336 is the 2816-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245460).

3966336 is an abundant number, since it is smaller than the sum of its proper divisors (8524584).

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

3966336 is a wasteful number, since it uses less digits than its factorization.

3966336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 329 counting only the distinct ones).

The product of its digits is 52488, while the sum is 36.

The square root of 3966336 is about 1991.5662178296. The cubic root of 3966336 is about 158.2935311464.

It can be divided in two parts, 396 and 6336, that multiplied together give a square (2509056 = 1584²).

The spelling of 3966336 in words is "three million, nine hundred sixty-six thousand, three hundred thirty-six".