384367872 has 288 divisors, whose sum is σ = 1271531520. Its totient is φ = 100638720.

The previous prime is 384367859. The next prime is 384367873. The reversal of 384367872 is 278763483.

It is a super-2 number, since 2×384367872² = 295477322051616768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384367873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5413597 + ... + 5413667.

It is an arithmetic number, because the mean of its divisors is an integer number (4415040).

Almost surely, 2^384367872 is an apocalyptic number.

384367872 is a gapful number since it is divisible by the number (32) 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 384367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635765760).

384367872 is an abundant number, since it is smaller than the sum of its proper divisors (887163648).

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

384367872 is a wasteful number, since it uses less digits than its factorization.

384367872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 384367872 is about 19605.3021399824. The cubic root of 384367872 is about 727.0802699232.

The spelling of 384367872 in words is "three hundred eighty-four million, three hundred sixty-seven thousand, eight hundred seventy-two".