384322848 has 384 divisors, whose sum is σ = 1351365120. Its totient is φ = 92897280.

The previous prime is 384322843. The next prime is 384322849. The reversal of 384322848 is 848223483.

It is a super-2 number, since 2×384322848² = 295408102989662208, which contains 22 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (384322843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9373708 + ... + 9373748.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2^384322848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384322848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675682560).

384322848 is an abundant number, since it is smaller than the sum of its proper divisors (967042272).

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

384322848 is a wasteful number, since it uses less digits than its factorization.

384322848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 384322848 is about 19604.1538455502. The cubic root of 384322848 is about 727.0518792913.

The spelling of 384322848 in words is "three hundred eighty-four million, three hundred twenty-two thousand, eight hundred forty-eight".