382006944 has 144 divisors (see below), whose sum is σ = 1217492640. Its totient is φ = 112596480.

The previous prime is 382006939. The next prime is 382006973. The reversal of 382006944 is 449600283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 382006899 and 382006908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115587 + ... + 118845.

It is an arithmetic number, because the mean of its divisors is an integer number (8454810).

Almost surely, 2^382006944 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 382006944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608746320).

382006944 is an abundant number, since it is smaller than the sum of its proper divisors (835485696).

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

382006944 is a wasteful number, since it uses less digits than its factorization.

382006944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 382006944 is about 19544.9979278587. The cubic root of 382006944 is about 725.5885472232.

The spelling of 382006944 in words is "three hundred eighty-two million, six thousand, nine hundred forty-four".