3823223976000 has 2688 divisors, whose sum is σ = 17664303121920. Its totient is φ = 804225024000.

The previous prime is 3823223975999. The next prime is 3823223976043. The reversal of 3823223976000 is 6793223283.

3823223976000 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 2 + 2 + 39 + 7 + 600 + 0 = 666.

It is a super-2 number, since 2×3823223976000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 4725863596 + ... + 4725864404.

It is an arithmetic number, because the mean of its divisors is an integer number (6571541340).

Almost surely, 2^{3823223976000} is an apocalyptic number.

3823223976000 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 3823223976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832151560960).

3823223976000 is an abundant number, since it is smaller than the sum of its proper divisors (13841079145920).

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

3823223976000 is a wasteful number, since it uses less digits than its factorization.

3823223976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 3823223976000 in words is "three trillion, eight hundred twenty-three billion, two hundred twenty-three million, nine hundred seventy-six thousand".