384042700 has 72 divisors (see below), whose sum is σ = 851820480. Its totient is φ = 150259200.

The previous prime is 384042697. The next prime is 384042713. The reversal of 384042700 is 7240483.

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 23 ways as a sum of consecutive naturals, for example, 1366560 + ... + 1366840.

It is an arithmetic number, because the mean of its divisors is an integer number (11830840).

Almost surely, 2^384042700 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 384042700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425910240).

384042700 is an abundant number, since it is smaller than the sum of its proper divisors (467777780).

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

384042700 is a wasteful number, since it uses less digits than its factorization.

384042700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 384042700 is about 19597.0074246044. The cubic root of 384042700 is about 726.8751774709.

The spelling of 384042700 in words is "three hundred eighty-four million, forty-two thousand, seven hundred".