3166416 has 60 divisors (see below), whose sum is σ = 9672000. Its totient is φ = 959040.

The previous prime is 3166411. The next prime is 3166439. The reversal of 3166416 is 6146613.

3166416 is a `hidden beast` number, since 3 + 16 + 641 + 6 = 666.

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 3166416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3166411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585 + ... + 2583.

It is an arithmetic number, because the mean of its divisors is an integer number (161200).

Almost surely, 2^3166416 is an apocalyptic number.

3166416 is a gapful number since it is divisible by the number (36) 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 3166416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836000).

3166416 is an abundant number, since it is smaller than the sum of its proper divisors (6505584).

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

3166416 is a wasteful number, since it uses less digits than its factorization.

3166416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2015 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3166416 is about 1779.4426093583. The cubic root of 3166416 is about 146.8439270920.

The spelling of 3166416 in words is "three million, one hundred sixty-six thousand, four hundred sixteen".