382244282820 has 84 divisors (see below), whose sum is σ = 1203518979180. Its totient is φ = 101931804864.

The previous prime is 382244282809. The next prime is 382244282851. The reversal of 382244282820 is 28282442283.

382244282820 is a `hidden beast` number, since 38 + 22 + 442 + 82 + 82 + 0 = 666.

382244282820 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 200302792704 + 181941490116 = 447552^2 + 426546^2 .

It is a super-2 number, since 2×382244282820² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13093935 + ... + 13123094.

It is an arithmetic number, because the mean of its divisors is an integer number (14327606895).

Almost surely, 2^382244282820 is an apocalyptic number.

382244282820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382244282820 is an abundant number, since it is smaller than the sum of its proper divisors (821274696360).

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

382244282820 is a wasteful number, since it uses less digits than its factorization.

382244282820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26217056 (or 26217039 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 382244282820 in words is "three hundred eighty-two billion, two hundred forty-four million, two hundred eighty-two thousand, eight hundred twenty".