384687072 has 432 divisors, whose sum is σ = 1463978880. Its totient is φ = 93519360.

The previous prime is 384687071. The next prime is 384687097. The reversal of 384687072 is 270786483.

It is a happy number.

384687072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384687071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4634743 + ... + 4634825.

It is an arithmetic number, because the mean of its divisors is an integer number (3388840).

Almost surely, 2^384687072 is an apocalyptic number.

384687072 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 384687072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731989440).

384687072 is an abundant number, since it is smaller than the sum of its proper divisors (1079291808).

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

384687072 is a wasteful number, since it uses less digits than its factorization.

384687072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 384687072 is about 19613.4411055276. The cubic root of 384687072 is about 727.2814832431.

The spelling of 384687072 in words is "three hundred eighty-four million, six hundred eighty-seven thousand, seventy-two".