3086004878880 has 1536 divisors, whose sum is σ = 12922383237120. Its totient is φ = 600403968000.

The previous prime is 3086004878861. The next prime is 3086004878881. The reversal of 3086004878880 is 888784006803.

It is a super-2 number, since 2×3086004878880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3086004878881) 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 255 ways as a sum of consecutive naturals, for example, 8408732457 + ... + 8408732823.

It is an arithmetic number, because the mean of its divisors is an integer number (8413009920).

Almost surely, 2^{3086004878880} is an apocalyptic number.

3086004878880 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 3086004878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461191618560).

3086004878880 is an abundant number, since it is smaller than the sum of its proper divisors (9836378358240).

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

3086004878880 is a wasteful number, since it uses less digits than its factorization.

3086004878880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 60.

The spelling of 3086004878880 in words is "three trillion, eighty-six billion, four million, eight hundred seventy-eight thousand, eight hundred eighty".