3909216 has 48 divisors (see below), whose sum is σ = 10511424. Its totient is φ = 1271424.

The previous prime is 3909211. The next prime is 3909221. The reversal of 3909216 is 6129093.

3909216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3909211) and next prime (3909221).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3909211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3655 + ... + 4601.

It is an arithmetic number, because the mean of its divisors is an integer number (218988).

Almost surely, 2^3909216 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 3909216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255712).

3909216 is an abundant number, since it is smaller than the sum of its proper divisors (6602208).

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

3909216 is a wasteful number, since it uses less digits than its factorization.

3909216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 3909216 is about 1977.1737404690. The cubic root of 3909216 is about 157.5299816947.

The spelling of 3909216 in words is "three million, nine hundred nine thousand, two hundred sixteen".