3820344528960 has 168 divisors, whose sum is σ = 13593510679320. Its totient is φ = 983628914688.

The previous prime is 3820344528947. The next prime is 3820344528961. The reversal of 3820344528960 is 698254430283.

3820344528960 is a `hidden beast` number, since 3 + 8 + 20 + 3 + 4 + 4 + 528 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 538391997504 + 3281952531456 = 733752^2 + 1811616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3820344528897 and 3820344528906.

It is not an unprimeable number, because it can be changed into a prime (3820344528961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22787317 + ... + 22954356.

Almost surely, 2^{3820344528960} is an apocalyptic number.

3820344528960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3820344528960 is an abundant number, since it is smaller than the sum of its proper divisors (9773166150360).

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

3820344528960 is a wasteful number, since it uses less digits than its factorization.

3820344528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45741725 (or 45741712 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3820344528960 in words is "three trillion, eight hundred twenty billion, three hundred forty-four million, five hundred twenty-eight thousand, nine hundred sixty".