384194880 has 224 divisors, whose sum is σ = 1382572800. Its totient is φ = 100399104.

The previous prime is 384194879. The next prime is 384194891. The reversal of 384194880 is 88491483.

384194880 is a `hidden beast` number, since 384 + 194 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457501 + ... + 458339.

It is an arithmetic number, because the mean of its divisors is an integer number (6172200).

Almost surely, 2^384194880 is an apocalyptic number.

384194880 is a gapful number since it is divisible by the number (30) 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 384194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691286400).

384194880 is an abundant number, since it is smaller than the sum of its proper divisors (998377920).

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

384194880 is a wasteful number, since it uses less digits than its factorization.

384194880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 384194880 is about 19600.8897757219. The cubic root of 384194880 is about 726.9711748317.

The spelling of 384194880 in words is "three hundred eighty-four million, one hundred ninety-four thousand, eight hundred eighty".