3664416 has 144 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 967680.

The previous prime is 3664399. The next prime is 3664421. The reversal of 3664416 is 6144663.

3664416 = T₂₂₃ + T₂₂₄ + ... + T₃₂₀.

3664416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10368) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 89356 + ... + 89396.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

Almost surely, 2^3664416 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 3664416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

3664416 is an abundant number, since it is smaller than the sum of its proper divisors (8401344).

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

3664416 is a wasteful number, since it uses less digits than its factorization.

3664416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 3664416 is about 1914.2664391354. The cubic root of 3664416 is about 154.1706098172.

The spelling of 3664416 in words is "three million, six hundred sixty-four thousand, four hundred sixteen".