384666744 has 192 divisors, whose sum is σ = 1225728000. Its totient is φ = 98461440.

The previous prime is 384666713. The next prime is 384666773. The reversal of 384666744 is 447666483.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 384666693 and 384666702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2581582 + ... + 2581730.

It is an arithmetic number, because the mean of its divisors is an integer number (6384000).

Almost surely, 2^384666744 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 384666744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612864000).

384666744 is an abundant number, since it is smaller than the sum of its proper divisors (841061256).

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

384666744 is a wasteful number, since it uses less digits than its factorization.

384666744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The square root of 384666744 is about 19612.9228826302. The cubic root of 384666744 is about 727.2686724509.

The spelling of 384666744 in words is "three hundred eighty-four million, six hundred sixty-six thousand, seven hundred forty-four".