3082996425600 has 3456 divisors, whose sum is σ = 14776304256000. Its totient is φ = 624966451200.

The previous prime is 3082996425491. The next prime is 3082996425629. The reversal of 3082996425600 is 65246992803.

It is a happy number.

3082996425600 is a `hidden beast` number, since 3 + 0 + 8 + 2 + 9 + 9 + 6 + 4 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 22179830331 + ... + 22179830469.

It is an arithmetic number, because the mean of its divisors is an integer number (4275551000).

Almost surely, 2^{3082996425600} is an apocalyptic number.

3082996425600 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 3082996425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388152128000).

3082996425600 is an abundant number, since it is smaller than the sum of its proper divisors (11693307830400).

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

3082996425600 is a wasteful number, since it uses less digits than its factorization.

3082996425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3082996425600 in words is "three trillion, eighty-two billion, nine hundred ninety-six million, four hundred twenty-five thousand, six hundred".