384063648 has 48 divisors (see below), whose sum is σ = 1009614816. Its totient is φ = 127837440.

The previous prime is 384063613. The next prime is 384063661. The reversal of 384063648 is 846360483.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×384063648³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75390 + ... + 80322.

It is an arithmetic number, because the mean of its divisors is an integer number (21033642).

Almost surely, 2^384063648 is an apocalyptic number.

It is an amenable number.

384063648 is an abundant number, since it is smaller than the sum of its proper divisors (625551168).

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

384063648 is a wasteful number, since it uses less digits than its factorization.

384063648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 384063648 is about 19597.5418866755. The cubic root of 384063648 is about 726.8883932794. Note that the first 3 decimals are identical.

The spelling of 384063648 in words is "three hundred eighty-four million, sixty-three thousand, six hundred forty-eight".