3916416 has 128 divisors (see below), whose sum is σ = 12533760. Its totient is φ = 1059840.

The previous prime is 3916411. The next prime is 3916433. The reversal of 3916416 is 6146193.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3916411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83305 + ... + 83351.

It is an arithmetic number, because the mean of its divisors is an integer number (97920).

Almost surely, 2^3916416 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 3916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266880).

3916416 is an abundant number, since it is smaller than the sum of its proper divisors (8617344).

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

3916416 is a wasteful number, since it uses less digits than its factorization.

3916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 3916416 is about 1978.9936836685. The cubic root of 3916416 is about 157.6266353670.

The spelling of 3916416 in words is "three million, nine hundred sixteen thousand, four hundred sixteen".