3585468096 has 336 divisors, whose sum is σ = 12548128320. Its totient is φ = 958832640.

The previous prime is 3585468071. The next prime is 3585468119. The reversal of 3585468096 is 6908645853.

It is a happy number.

3585468096 is a `hidden beast` number, since 3 + 5 + 8 + 546 + 8 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19809126 + ... + 19809306.

It is an arithmetic number, because the mean of its divisors is an integer number (37345620).

Almost surely, 2^3585468096 is an apocalyptic number.

3585468096 is a gapful number since it is divisible by the number (36) 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 3585468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274064160).

3585468096 is an abundant number, since it is smaller than the sum of its proper divisors (8962660224).

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

3585468096 is a wasteful number, since it uses less digits than its factorization.

3585468096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 3585468096 is about 59878.7783442515. The cubic root of 3585468096 is about 1530.5538735428.

The spelling of 3585468096 in words is "three billion, five hundred eighty-five million, four hundred sixty-eight thousand, ninety-six".