384635376 has 60 divisors (see below), whose sum is σ = 1077799320. Its totient is φ = 128050560.

The previous prime is 384635369. The next prime is 384635393. The reversal of 384635376 is 673536483.

384635376 is a `hidden beast` number, since 3 + 8 + 4 + 635 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×384635376² = 295888744941322752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184870 + ... + 186938.

It is an arithmetic number, because the mean of its divisors is an integer number (17963322).

Almost surely, 2^384635376 is an apocalyptic number.

384635376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

384635376 is an abundant number, since it is smaller than the sum of its proper divisors (693163944).

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

384635376 is a wasteful number, since it uses less digits than its factorization.

384635376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3365 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 384635376 is about 19612.1231894968. The cubic root of 384635376 is about 727.2489033181.

The spelling of 384635376 in words is "three hundred eighty-four million, six hundred thirty-five thousand, three hundred seventy-six".