384988032 has 512 divisors, whose sum is σ = 1439424000. Its totient is φ = 99532800.

The previous prime is 384988031. The next prime is 384988049. The reversal of 384988032 is 230889483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384988031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9389932 + ... + 9389972.

It is an arithmetic number, because the mean of its divisors is an integer number (2811375).

Almost surely, 2^384988032 is an apocalyptic number.

384988032 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 384988032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719712000).

384988032 is an abundant number, since it is smaller than the sum of its proper divisors (1054435968).

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

384988032 is a wasteful number, since it uses less digits than its factorization.

384988032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 384988032 is about 19621.1118950991. Note that the first 3 decimals coincide. The cubic root of 384988032 is about 727.4710967367.

The spelling of 384988032 in words is "three hundred eighty-four million, nine hundred eighty-eight thousand, thirty-two".