384632064 has 162 divisors, whose sum is σ = 1156612730. Its totient is φ = 127650816.

The previous prime is 384632047. The next prime is 384632081. The reversal of 384632064 is 460236483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (384632047) and next prime (384632081).

It can be written as a sum of positive squares in only one way, i.e., 377913600 + 6718464 = 19440^2 + 2592^2 .

It is a tau number, because it is divible by the number of its divisors (162).

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

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 17 ways as a sum of consecutive naturals, for example, 1679502 + ... + 1679730.

Almost surely, 2^384632064 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 384632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578306365).

384632064 is an abundant number, since it is smaller than the sum of its proper divisors (771980666).

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

384632064 is an frugal number, since it uses more digits than its factorization.

384632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 384632064 is about 19612.0387517463. The cubic root of 384632064 is about 727.2468159253.

The spelling of 384632064 in words is "three hundred eighty-four million, six hundred thirty-two thousand, sixty-four".