3818666839680 has 1728 divisors, whose sum is σ = 17409158807040. Its totient is φ = 767679897600.

The previous prime is 3818666839651. The next prime is 3818666839733. The reversal of 3818666839680 is 869386668183.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3818666839599 and 3818666839608.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1058680437 + ... + 1058684043.

It is an arithmetic number, because the mean of its divisors is an integer number (10074744680).

Almost surely, 2^{3818666839680} is an apocalyptic number.

3818666839680 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 3818666839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704579403520).

3818666839680 is an abundant number, since it is smaller than the sum of its proper divisors (13590491967360).

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

3818666839680 is a wasteful number, since it uses less digits than its factorization.

3818666839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

It can be divided in two parts, 38186 and 66839680, that added together give a palindrome (66877866).

The spelling of 3818666839680 in words is "three trillion, eight hundred eighteen billion, six hundred sixty-six million, eight hundred thirty-nine thousand, six hundred eighty".