3086260107840 has 3584 divisors, whose sum is σ = 14780215296000. Its totient is φ = 608370352128.

The previous prime is 3086260107829. The next prime is 3086260107881. The reversal of 3086260107840 is 487010626803.

3086260107840 is a `hidden beast` number, since 3 + 0 + 8 + 626 + 0 + 10 + 7 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 71773490859 + ... + 71773490901.

It is an arithmetic number, because the mean of its divisors is an integer number (4123944000).

Almost surely, 2^{3086260107840} is an apocalyptic number.

3086260107840 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 3086260107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7390107648000).

3086260107840 is an abundant number, since it is smaller than the sum of its proper divisors (11693955188160).

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

3086260107840 is an equidigital number, since it uses as much as digits as its factorization.

3086260107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 3086260107840 in words is "three trillion, eighty-six billion, two hundred sixty million, one hundred seven thousand, eight hundred forty".