384034320768 has 128 divisors (see below), whose sum is σ = 1227177504000. Its totient is φ = 103949125632.

The previous prime is 384034320757. The next prime is 384034320871. The reversal of 384034320768 is 867023430483.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×384034320768² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 3708663 + ... + 3810806.

It is an arithmetic number, because the mean of its divisors is an integer number (9587324250).

Almost surely, 2^384034320768 is an apocalyptic number.

384034320768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

384034320768 is an abundant number, since it is smaller than the sum of its proper divisors (843143183232).

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

384034320768 is a wasteful number, since it uses less digits than its factorization.

384034320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7519512 (or 7519500 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 384034320768 in words is "three hundred eighty-four billion, thirty-four million, three hundred twenty thousand, seven hundred sixty-eight".