3082828138704 has 320 divisors, whose sum is σ = 9290105395200. Its totient is φ = 977453568000.

The previous prime is 3082828138661. The next prime is 3082828138727. The reversal of 3082828138704 is 4078318282803.

3082828138704 is a `hidden beast` number, since 30 + 82 + 82 + 81 + 387 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1189820449 + ... + 1189823039.

It is an arithmetic number, because the mean of its divisors is an integer number (29031579360).

Almost surely, 2^{3082828138704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3082828138704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645052697600).

3082828138704 is an abundant number, since it is smaller than the sum of its proper divisors (6207277256496).

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

3082828138704 is a wasteful number, since it uses less digits than its factorization.

3082828138704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 3082828138704 in words is "three trillion, eighty-two billion, eight hundred twenty-eight million, one hundred thirty-eight thousand, seven hundred four".