3822256365984 has 768 divisors, whose sum is σ = 13365712281600. Its totient is φ = 1040101171200.

The previous prime is 3822256365929. The next prime is 3822256365989. The reversal of 3822256365984 is 4895636522283.

3822256365984 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 2 + 5 + 6 + 36 + 598 + 4 = 666.

3822256365984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3822256365989) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1883811882 + ... + 1883813910.

It is an arithmetic number, because the mean of its divisors is an integer number (17403271200).

Almost surely, 2^{3822256365984} 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 3822256365984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682856140800).

3822256365984 is an abundant number, since it is smaller than the sum of its proper divisors (9543455915616).

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

3822256365984 is a wasteful number, since it uses less digits than its factorization.

3822256365984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2260 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 63.

The spelling of 3822256365984 in words is "three trillion, eight hundred twenty-two billion, two hundred fifty-six million, three hundred sixty-five thousand, nine hundred eighty-four".