3826692218880 has 1344 divisors, whose sum is σ = 14750802339840. Its totient is φ = 940120473600.

The previous prime is 3826692218861. The next prime is 3826692218933. The reversal of 3826692218880 is 888122966283.

3826692218880 is a `hidden beast` number, since 38 + 266 + 92 + 2 + 188 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 18135981975 + ... + 18135982185.

It is an arithmetic number, because the mean of its divisors is an integer number (10975299360).

Almost surely, 2^{3826692218880} is an apocalyptic number.

3826692218880 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 3826692218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7375401169920).

3826692218880 is an abundant number, since it is smaller than the sum of its proper divisors (10924110120960).

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

3826692218880 is a wasteful number, since it uses less digits than its factorization.

3826692218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 3826692218880 in words is "three trillion, eight hundred twenty-six billion, six hundred ninety-two million, two hundred eighteen thousand, eight hundred eighty".