3682879218660 has 384 divisors, whose sum is σ = 11190626979840. Its totient is φ = 902543026176.

The previous prime is 3682879218643. The next prime is 3682879218703. The reversal of 3682879218660 is 668129782863.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3682879218591 and 3682879218600.

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 127 ways as a sum of consecutive naturals, for example, 1931241427 + ... + 1931243333.

It is an arithmetic number, because the mean of its divisors is an integer number (29142257760).

Almost surely, 2^{3682879218660} is an apocalyptic number.

3682879218660 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 3682879218660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595313489920).

3682879218660 is an abundant number, since it is smaller than the sum of its proper divisors (7507747761180).

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

3682879218660 is a wasteful number, since it uses less digits than its factorization.

3682879218660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 3682879218660 in words is "three trillion, six hundred eighty-two billion, eight hundred seventy-nine million, two hundred eighteen thousand, six hundred sixty".