382295808 has 288 divisors, whose sum is σ = 1236211200. Its totient is φ = 116121600.

The previous prime is 382295747. The next prime is 382295819. The reversal of 382295808 is 808592283.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 5384413 + ... + 5384483.

It is an arithmetic number, because the mean of its divisors is an integer number (4292400).

Almost surely, 2^382295808 is an apocalyptic number.

382295808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382295808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618105600).

382295808 is an abundant number, since it is smaller than the sum of its proper divisors (853915392).

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

382295808 is a wasteful number, since it uses less digits than its factorization.

382295808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 382295808 is about 19552.3862482307. The cubic root of 382295808 is about 725.7713917195.

The spelling of 382295808 in words is "three hundred eighty-two million, two hundred ninety-five thousand, eight hundred eight".