3823522560 has 648 divisors, whose sum is σ = 15733706352. Its totient is φ = 851558400.

The previous prime is 3823522531. The next prime is 3823522561. The reversal of 3823522560 is 652253283.

3823522560 is a `hidden beast` number, since 3 + 82 + 3 + 522 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3823522561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18120855 + ... + 18121065.

Almost surely, 2^3823522560 is an apocalyptic number.

3823522560 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 3823522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7866853176).

3823522560 is an abundant number, since it is smaller than the sum of its proper divisors (11910183792).

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

3823522560 is a wasteful number, since it uses less digits than its factorization.

3823522560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3823522560 is about 61834.6388361734. The cubic root of 3823522560 is about 1563.7040188371.

The spelling of 3823522560 in words is "three billion, eight hundred twenty-three million, five hundred twenty-two thousand, five hundred sixty".