3282521760 has 432 divisors, whose sum is σ = 13520890656. Its totient is φ = 749855232.

The previous prime is 3282521741. The next prime is 3282521761. The reversal of 3282521760 is 671252823.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×3282521760³ (a number of 30 digits) contains 333 as substring.

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 (3282521761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1904259 + ... + 1905981.

It is an arithmetic number, because the mean of its divisors is an integer number (31298358).

Almost surely, 2^3282521760 is an apocalyptic number.

3282521760 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 3282521760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6760445328).

3282521760 is an abundant number, since it is smaller than the sum of its proper divisors (10238368896).

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

3282521760 is a wasteful number, since it uses less digits than its factorization.

3282521760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3282521760 is about 57293.2959428937. The cubic root of 3282521760 is about 1486.1724441471.

The spelling of 3282521760 in words is "three billion, two hundred eighty-two million, five hundred twenty-one thousand, seven hundred sixty".