3001686160500 has 384 divisors, whose sum is σ = 9964053066240. Its totient is φ = 779951462400.

The previous prime is 3001686160481. The next prime is 3001686160511. The reversal of 3001686160500 is 50616861003.

It is a happy number.

3001686160500 is a `hidden beast` number, since 3 + 0 + 0 + 16 + 86 + 1 + 60 + 500 = 666.

It is a super-2 number, since 2×3001686160500² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81778152 + ... + 81814848.

It is an arithmetic number, because the mean of its divisors is an integer number (25948054860).

Almost surely, 2^{3001686160500} is an apocalyptic number.

3001686160500 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 3001686160500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982026533120).

3001686160500 is an abundant number, since it is smaller than the sum of its proper divisors (6962366905740).

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

3001686160500 is a wasteful number, since it uses less digits than its factorization.

3001686160500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36881 (or 36863 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 3001686160500 in words is "three trillion, one billion, six hundred eighty-six million, one hundred sixty thousand, five hundred".