3822287304960 has 360 divisors, whose sum is σ = 13767474469056. Its totient is φ = 1012522291200.

The previous prime is 3822287304943. The next prime is 3822287304961. The reversal of 3822287304960 is 694037822283.

3822287304960 is a `hidden beast` number, since 3 + 82 + 2 + 2 + 8 + 73 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 3822287304897 and 3822287304906.

It is not an unprimeable number, because it can be changed into a prime (3822287304961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15533607 + ... + 15777753.

Almost surely, 2^{3822287304960} is an apocalyptic number.

3822287304960 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 3822287304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883737234528).

3822287304960 is an abundant number, since it is smaller than the sum of its proper divisors (9945187164096).

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

3822287304960 is a wasteful number, since it uses less digits than its factorization.

3822287304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244331 (or 244308 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3822287304960 in words is "three trillion, eight hundred twenty-two billion, two hundred eighty-seven million, three hundred four thousand, nine hundred sixty".