41664384 has 96 divisors (see below), whose sum is σ = 122124600. Its totient is φ = 13630464.

The previous prime is 41664383. The next prime is 41664391. The reversal of 41664384 is 48346614.

41664384 is a `hidden beast` number, since 4 + 1 + 6 + 643 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41664383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67662 + ... + 68274.

Almost surely, 2^41664384 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 41664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61062300).

41664384 is an abundant number, since it is smaller than the sum of its proper divisors (80460216).

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

41664384 is a wasteful number, since it uses less digits than its factorization.

41664384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 677 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 41664384 is about 6454.7954266576. The cubic root of 41664384 is about 346.6743062090.

The spelling of 41664384 in words is "forty-one million, six hundred sixty-four thousand, three hundred eighty-four".