384369744 has 160 divisors (see below), whose sum is σ = 1167925248. Its totient is φ = 107712000.

The previous prime is 384369697. The next prime is 384369749. The reversal of 384369744 is 447963483.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 384369693 and 384369702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384369749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375954 + ... + 376974.

Almost surely, 2^384369744 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 384369744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583962624).

384369744 is an abundant number, since it is smaller than the sum of its proper divisors (783555504).

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

384369744 is a wasteful number, since it uses less digits than its factorization.

384369744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 384369744 is about 19605.3498821113. The cubic root of 384369744 is about 727.0814502959.

The spelling of 384369744 in words is "three hundred eighty-four million, three hundred sixty-nine thousand, seven hundred forty-four".