384352416 has 144 divisors (see below), whose sum is σ = 1264745664. Its totient is φ = 108444672.

The previous prime is 384352363. The next prime is 384352429. The reversal of 384352416 is 614253483.

384352416 is a `hidden beast` number, since 384 + 35 + 241 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×384352416⁴ (a number of 35 digits) contains 4444 as substring.

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

It is a nialpdrome in base 12.

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 23 ways as a sum of consecutive naturals, for example, 166180 + ... + 168476.

It is an arithmetic number, because the mean of its divisors is an integer number (8782956).

Almost surely, 2^384352416 is an apocalyptic number.

384352416 is a gapful number since it is divisible by the number (36) 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 384352416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632372832).

384352416 is an abundant number, since it is smaller than the sum of its proper divisors (880393248).

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

384352416 is a wasteful number, since it uses less digits than its factorization.

384352416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2392 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 384352416 is about 19604.9079569377. The cubic root of 384352416 is about 727.0705241353.

The spelling of 384352416 in words is "three hundred eighty-four million, three hundred fifty-two thousand, four hundred sixteen".