3585722152320 has 1792 divisors, whose sum is σ = 16154160860160. Its totient is φ = 739031040000.

The previous prime is 3585722152303. The next prime is 3585722152321. The reversal of 3585722152320 is 232512275853.

3585722152320 is a `hidden beast` number, since 3 + 5 + 8 + 57 + 221 + 52 + 320 = 666.

3585722152320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3585722152321) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5424692790 + ... + 5424693450.

Almost surely, 2^{3585722152320} is an apocalyptic number.

3585722152320 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 3585722152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8077080430080).

3585722152320 is an abundant number, since it is smaller than the sum of its proper divisors (12568438707840).

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

3585722152320 is a wasteful number, since it uses less digits than its factorization.

3585722152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 3585722152320 in words is "three trillion, five hundred eighty-five billion, seven hundred twenty-two million, one hundred fifty-two thousand, three hundred twenty".