384051024 has 120 divisors (see below), whose sum is σ = 1282417920. Its totient is φ = 109722816.

The previous prime is 384051011. The next prime is 384051071. The reversal of 384051024 is 420150483.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 12097 + ... + 30239.

It is an arithmetic number, because the mean of its divisors is an integer number (10686816).

Almost surely, 2^384051024 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 384051024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641208960).

384051024 is an abundant number, since it is smaller than the sum of its proper divisors (898366896).

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

384051024 is a wasteful number, since it uses less digits than its factorization.

384051024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18174 (or 18155 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 384051024 is about 19597.2198028190. The cubic root of 384051024 is about 726.8804290269.

The spelling of 384051024 in words is "three hundred eighty-four million, fifty-one thousand, twenty-four".