3964416 has 80 divisors (see below), whose sum is σ = 11048400. Its totient is φ = 1261568.

The previous prime is 3964399. The next prime is 3964421. The reversal of 3964416 is 6144693.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44500 + ... + 44588.

It is an arithmetic number, because the mean of its divisors is an integer number (138105).

Almost surely, 2^3964416 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 3964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524200).

3964416 is an abundant number, since it is smaller than the sum of its proper divisors (7083984).

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

3964416 is an equidigital number, since it uses as much as digits as its factorization.

3964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 3964416 is about 1991.0841268013. The cubic root of 3964416 is about 158.2679850981.

The spelling of 3964416 in words is "three million, nine hundred sixty-four thousand, four hundred sixteen".