384332588640 has 3072 divisors, whose sum is σ = 1935236136960. Its totient is φ = 68677632000.

The previous prime is 384332588617. The next prime is 384332588669. The reversal of 384332588640 is 46885233483.

384332588640 is a `hidden beast` number, since 384 + 3 + 3 + 258 + 8 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6300534210 + ... + 6300534270.

It is an arithmetic number, because the mean of its divisors is an integer number (629959680).

Almost surely, 2^384332588640 is an apocalyptic number.

384332588640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384332588640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967618068480).

384332588640 is an abundant number, since it is smaller than the sum of its proper divisors (1550903548320).

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

384332588640 is a wasteful number, since it uses less digits than its factorization.

384332588640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 384332588640 in words is "three hundred eighty-four billion, three hundred thirty-two million, five hundred eighty-eight thousand, six hundred forty".