3282537918464 has 416 divisors, whose sum is σ = 8153326118016. Its totient is φ = 1289496821760.

The previous prime is 3282537918427. The next prime is 3282537918497. The reversal of 3282537918464 is 4648197352823.

It is a junction number, because it is equal to n+sod(n) for n = 3282537918397 and 3282537918406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3359813144 + ... + 3359814120.

Almost surely, 2^{3282537918464} is an apocalyptic number.

3282537918464 is a gapful number since it is divisible by the number (34) 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 3282537918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076663059008).

3282537918464 is an abundant number, since it is smaller than the sum of its proper divisors (4870788199552).

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

3282537918464 is a wasteful number, since it uses less digits than its factorization.

3282537918464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1177 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 62.

The spelling of 3282537918464 in words is "three trillion, two hundred eighty-two billion, five hundred thirty-seven million, nine hundred eighteen thousand, four hundred sixty-four".