384342336 has 336 divisors, whose sum is σ = 1378915200. Its totient is φ = 99864576.

The previous prime is 384342311. The next prime is 384342349. The reversal of 384342336 is 633243483.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 384342336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2221546 + ... + 2221718.

Almost surely, 2^384342336 is an apocalyptic number.

384342336 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 384342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689457600).

384342336 is an abundant number, since it is smaller than the sum of its proper divisors (994572864).

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

384342336 is a wasteful number, since it uses less digits than its factorization.

384342336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 384342336 is about 19604.6508767690. The cubic root of 384342336 is about 727.0641680459.

The spelling of 384342336 in words is "three hundred eighty-four million, three hundred forty-two thousand, three hundred thirty-six".