3086380613160 has 160 divisors (see below), whose sum is σ = 11171642799240. Its totient is φ = 759724448256.

The previous prime is 3086380613153. The next prime is 3086380613167. The reversal of 3086380613160 is 613160836803.

3086380613160 is a `hidden beast` number, since 3 + 0 + 8 + 638 + 0 + 6 + 1 + 3 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3086380613153) and next prime (3086380613167).

It can be written as a sum of positive squares in 4 ways, for example, as 1380676700484 + 1705703912676 = 1175022^2 + 1306026^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3086380613167) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 36595827 + ... + 36680066.

Almost surely, 2^{3086380613160} is an apocalyptic number.

3086380613160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3086380613160 is an abundant number, since it is smaller than the sum of its proper divisors (8085262186080).

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

3086380613160 is a wasteful number, since it uses less digits than its factorization.

3086380613160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73275929 (or 73275916 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 3086380613160 in words is "three trillion, eighty-six billion, three hundred eighty million, six hundred thirteen thousand, one hundred sixty".