3676881318656 has 144 divisors (see below), whose sum is σ = 9039382329600. Its totient is φ = 1453579997184.

The previous prime is 3676881318653. The next prime is 3676881318661. The reversal of 3676881318656 is 6568131886763.

It is not an unprimeable number, because it can be changed into a prime (3676881318653) 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 15 ways as a sum of consecutive naturals, for example, 33934775 + ... + 34042953.

It is an arithmetic number, because the mean of its divisors is an integer number (62773488400).

Almost surely, 2^{3676881318656} 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 3676881318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519691164800).

3676881318656 is an abundant number, since it is smaller than the sum of its proper divisors (5362501010944).

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

3676881318656 is a wasteful number, since it uses less digits than its factorization.

3676881318656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109674 (or 109660 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 68.

The spelling of 3676881318656 in words is "three trillion, six hundred seventy-six billion, eight hundred eighty-one million, three hundred eighteen thousand, six hundred fifty-six".