3585350160 has 240 divisors, whose sum is σ = 14485560960. Its totient is φ = 776355840.

The previous prime is 3585350129. The next prime is 3585350161. The reversal of 3585350160 is 610535853.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (3585350161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77040 + ... + 114480.

It is an arithmetic number, because the mean of its divisors is an integer number (60356504).

Almost surely, 2^3585350160 is an apocalyptic number.

3585350160 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 3585350160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242780480).

3585350160 is an abundant number, since it is smaller than the sum of its proper divisors (10900210800).

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

3585350160 is a wasteful number, since it uses less digits than its factorization.

3585350160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37486 (or 37477 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 3585350160 is about 59877.7935465227. The cubic root of 3585350160 is about 1530.5370919700.

The spelling of 3585350160 in words is "three billion, five hundred eighty-five million, three hundred fifty thousand, one hundred sixty".