3605822720 has 72 divisors (see below), whose sum is σ = 8673652680. Its totient is φ = 1436221440.

The previous prime is 3605822699. The next prime is 3605822729. The reversal of 3605822720 is 272285063.

3605822720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1856575744 + 1749246976 = 43088^2 + 41824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3605822729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302636 + ... + 314324.

Almost surely, 2^3605822720 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 3605822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336826340).

3605822720 is an abundant number, since it is smaller than the sum of its proper divisors (5067829960).

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

3605822720 is a wasteful number, since it uses less digits than its factorization.

3605822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11951 (or 11937 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 3605822720 is about 60048.5030621081. The cubic root of 3605822720 is about 1533.4447169665. Note that the first 3 decimals are identical.

The spelling of 3605822720 in words is "three billion, six hundred five million, eight hundred twenty-two thousand, seven hundred twenty".