3086067479040 has 5120 divisors, whose sum is σ = 15838986240000. Its totient is φ = 561842749440.

The previous prime is 3086067479017. The next prime is 3086067479113. The reversal of 3086067479040 is 409747606803.

It is a happy number.

3086067479040 is a `hidden beast` number, since 30 + 86 + 0 + 67 + 479 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 99550563825 + ... + 99550563855.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552000).

Almost surely, 2^{3086067479040} is an apocalyptic number.

3086067479040 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 3086067479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919493120000).

3086067479040 is an abundant number, since it is smaller than the sum of its proper divisors (12752918760960).

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

3086067479040 is a wasteful number, since it uses less digits than its factorization.

3086067479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 3086067479040 in words is "three trillion, eighty-six billion, sixty-seven million, four hundred seventy-nine thousand, forty".