3822623912448 has 800 divisors, whose sum is σ = 13225252993920. Its totient is φ = 1086402723840.

The previous prime is 3822623912441. The next prime is 3822623912449. The reversal of 3822623912448 is 8442193262283.

3822623912448 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 6 + 2 + 391 + 244 + 8 = 666.

It is a super-2 number, since 2×3822623912448² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3822623912394 and 3822623912403.

It is not an unprimeable number, because it can be changed into a prime (3822623912441) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2784139090 + ... + 2784140462.

Almost surely, 2^{3822623912448} 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 3822623912448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6612626496960).

3822623912448 is an abundant number, since it is smaller than the sum of its proper divisors (9402629081472).

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

3822623912448 is a wasteful number, since it uses less digits than its factorization.

3822623912448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1765 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 3822623912448 in words is "three trillion, eight hundred twenty-two billion, six hundred twenty-three million, nine hundred twelve thousand, four hundred forty-eight".