382850535690 has 512 divisors, whose sum is σ = 1255805337600. Its totient is φ = 81142871040.

The previous prime is 382850535679. The next prime is 382850535703. The reversal of 382850535690 is 96535058283.

382850535690 is a `hidden beast` number, since 3 + 8 + 28 + 5 + 0 + 53 + 569 + 0 = 666.

It is a super-2 number, since 2×382850535690² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 143765299 + ... + 143767961.

It is an arithmetic number, because the mean of its divisors is an integer number (2452744800).

Almost surely, 2^382850535690 is an apocalyptic number.

382850535690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 382850535690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627902668800).

382850535690 is an abundant number, since it is smaller than the sum of its proper divisors (872954801910).

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

382850535690 is a wasteful number, since it uses less digits than its factorization.

382850535690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 382850535690 in words is "three hundred eighty-two billion, eight hundred fifty million, five hundred thirty-five thousand, six hundred ninety".