384045900 has 144 divisors (see below), whose sum is σ = 1299750144. Its totient is φ = 85720320.

The previous prime is 384045899. The next prime is 384045901. The reversal of 384045900 is 9540483.

It is an interprime number because it is at equal distance from previous prime (384045899) and next prime (384045901).

It is a super-3 number, since 3×384045900³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (384045901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 88174 + ... + 92426.

Almost surely, 2^384045900 is an apocalyptic number.

384045900 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 384045900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649875072).

384045900 is an abundant number, since it is smaller than the sum of its proper divisors (915704244).

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

384045900 is a wasteful number, since it uses less digits than its factorization.

384045900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 384045900 is about 19597.0890695532. The cubic root of 384045900 is about 726.8771963385.

The spelling of 384045900 in words is "three hundred eighty-four million, forty-five thousand, nine hundred".