3285842501760 has 2304 divisors, whose sum is σ = 14171973840000. Its totient is φ = 643443720192.

The previous prime is 3285842501749. The next prime is 3285842501761. The reversal of 3285842501760 is 671052485823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285842501761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22052634166 + ... + 22052634314.

Almost surely, 2^{3285842501760} is an apocalyptic number.

3285842501760 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 3285842501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085986920000).

3285842501760 is an abundant number, since it is smaller than the sum of its proper divisors (10886131338240).

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

3285842501760 is a wasteful number, since it uses less digits than its factorization.

3285842501760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 3285842501760 in words is "three trillion, two hundred eighty-five billion, eight hundred forty-two million, five hundred one thousand, seven hundred sixty".