382946784 has 96 divisors (see below), whose sum is σ = 1105042176. Its totient is φ = 115153920.

The previous prime is 382946761. The next prime is 382946789. The reversal of 382946784 is 487649283.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382946789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143349 + ... + 145995.

It is an arithmetic number, because the mean of its divisors is an integer number (11510856).

Almost surely, 2^382946784 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 382946784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552521088).

382946784 is an abundant number, since it is smaller than the sum of its proper divisors (722095392).

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

382946784 is a wasteful number, since it uses less digits than its factorization.

382946784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2800 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 382946784 is about 19569.0261382625. The cubic root of 382946784 is about 726.1831076663.

The spelling of 382946784 in words is "three hundred eighty-two million, nine hundred forty-six thousand, seven hundred eighty-four".