3966912 has 84 divisors (see below), whose sum is σ = 11649456. Its totient is φ = 1290240.

The previous prime is 3966889. The next prime is 3966913. The reversal of 3966912 is 2196693.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966913) 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, 40848 + ... + 40944.

It is an arithmetic number, because the mean of its divisors is an integer number (138684).

Almost surely, 2^3966912 is an apocalyptic number.

3966912 is a gapful number since it is divisible by the number (32) 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 3966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824728).

3966912 is an abundant number, since it is smaller than the sum of its proper divisors (7682544).

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

3966912 is a wasteful number, since it uses less digits than its factorization.

3966912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 3966912 is about 1991.7108223836. The cubic root of 3966912 is about 158.3011933533.

It can be divided in two parts, 396691 and 2, that added together give a palindrome (396693).

The spelling of 3966912 in words is "three million, nine hundred sixty-six thousand, nine hundred twelve".