3136680505728 has 1920 divisors, whose sum is σ = 12686698236960. Its totient is φ = 758041804800.

The previous prime is 3136680505709. The next prime is 3136680505729. The reversal of 3136680505728 is 8275050866313.

3136680505728 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 68 + 0 + 5 + 0 + 572 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3136680505729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13015271688 + ... + 13015271928.

Almost surely, 2^{3136680505728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3136680505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343349118480).

3136680505728 is an abundant number, since it is smaller than the sum of its proper divisors (9550017731232).

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

3136680505728 is a wasteful number, since it uses less digits than its factorization.

3136680505728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 3136680505728 in words is "three trillion, one hundred thirty-six billion, six hundred eighty million, five hundred five thousand, seven hundred twenty-eight".