3282771540960 has 432 divisors, whose sum is σ = 11858018412240. Its totient is φ = 826489958400.

The previous prime is 3282771540907. The next prime is 3282771541003. The reversal of 3282771540960 is 690451772823.

It is a happy number.

3282771540960 is a `hidden beast` number, since 3 + 2 + 8 + 2 + 7 + 7 + 1 + 540 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3282771540897 and 3282771540906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56708511 + ... + 56766369.

It is an arithmetic number, because the mean of its divisors is an integer number (27449116695).

It is a 1-persistent number, because it is pandigital, but 2⋅3282771540960 = 6565543081920 is not.

Almost surely, 2^{3282771540960} is an apocalyptic number.

3282771540960 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 3282771540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929009206120).

3282771540960 is an abundant number, since it is smaller than the sum of its proper divisors (8575246871280).

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

3282771540960 is a wasteful number, since it uses less digits than its factorization.

3282771540960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57983 (or 57941 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3282771540960 in words is "three trillion, two hundred eighty-two billion, seven hundred seventy-one million, five hundred forty thousand, nine hundred sixty".