383876064 has 288 divisors, whose sum is σ = 1328140800. Its totient is φ = 106928640.

The previous prime is 383876063. The next prime is 383876081. The reversal of 383876064 is 460678383.

383876064 is a `hidden beast` number, since 3 + 8 + 38 + 7 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383876063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1606057 + ... + 1606295.

It is an arithmetic number, because the mean of its divisors is an integer number (4611600).

Almost surely, 2^383876064 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 383876064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664070400).

383876064 is an abundant number, since it is smaller than the sum of its proper divisors (944264736).

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

383876064 is a wasteful number, since it uses less digits than its factorization.

383876064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 383876064 is about 19592.7553958089. The cubic root of 383876064 is about 726.7700319625.

The spelling of 383876064 in words is "three hundred eighty-three million, eight hundred seventy-six thousand, sixty-four".