3082756352832 has 224 divisors, whose sum is σ = 9767564472960. Its totient is φ = 947792240640.

The previous prime is 3082756352801. The next prime is 3082756352839. The reversal of 3082756352832 is 2382536572803.

It is a happy number.

3082756352832 is a `hidden beast` number, since 3 + 0 + 8 + 27 + 5 + 63 + 528 + 32 = 666.

It is a super-3 number, since 3×3082756352832³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3082756352839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28767832 + ... + 28874792.

It is an arithmetic number, because the mean of its divisors is an integer number (43605198540).

Almost surely, 2^{3082756352832} is an apocalyptic number.

3082756352832 is a gapful number since it is divisible by the number (32) 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 3082756352832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883782236480).

3082756352832 is an abundant number, since it is smaller than the sum of its proper divisors (6684808120128).

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

3082756352832 is a wasteful number, since it uses less digits than its factorization.

3082756352832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108278 (or 108262 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3082756352832 in words is "three trillion, eighty-two billion, seven hundred fifty-six million, three hundred fifty-two thousand, eight hundred thirty-two".