382805136 has 160 divisors (see below), whose sum is σ = 1263054080. Its totient is φ = 108739584.

The previous prime is 382805131. The next prime is 382805153. The reversal of 382805136 is 631508283.

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

It is a self number, because there is not a number n which added to its sum of digits gives 382805136.

It is not an unprimeable number, because it can be changed into a prime (382805131) 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, 837420 + ... + 837876.

It is an arithmetic number, because the mean of its divisors is an integer number (7894088).

Almost surely, 2^382805136 is an apocalyptic number.

382805136 is a gapful number since it is divisible by the number (36) 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 382805136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631527040).

382805136 is an abundant number, since it is smaller than the sum of its proper divisors (880248944).

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

382805136 is a wasteful number, since it uses less digits than its factorization.

382805136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 382805136 is about 19565.4066147371. The cubic root of 382805136 is about 726.0935607855.

The spelling of 382805136 in words is "three hundred eighty-two million, eight hundred five thousand, one hundred thirty-six".