382839001140 has 96 divisors (see below), whose sum is σ = 1093032372096. Its totient is φ = 100085506560.

The previous prime is 382839001123. The next prime is 382839001141. The reversal of 382839001140 is 41100938283.

It is a super-3 number, since 3×382839001140³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382839001141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4058754 + ... + 4152006.

It is an arithmetic number, because the mean of its divisors is an integer number (11385753876).

Almost surely, 2^382839001140 is an apocalyptic number.

382839001140 is a gapful number since it is divisible by the number (30) 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 382839001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546516186048).

382839001140 is an abundant number, since it is smaller than the sum of its proper divisors (710193370956).

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

382839001140 is a wasteful number, since it uses less digits than its factorization.

382839001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94609 (or 94607 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 382839001140 in words is "three hundred eighty-two billion, eight hundred thirty-nine million, one thousand, one hundred forty".