3242882464 has 96 divisors (see below), whose sum is σ = 6977456640. Its totient is φ = 1477398528.

The previous prime is 3242882443. The next prime is 3242882473. The reversal of 3242882464 is 4642882423.

It is a super-2 number, since 2×3242882464² = 21032573350637422592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3242882464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7386757 + ... + 7387195.

It is an arithmetic number, because the mean of its divisors is an integer number (72681840).

Almost surely, 2^3242882464 is an apocalyptic number.

3242882464 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 3242882464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488728320).

3242882464 is an abundant number, since it is smaller than the sum of its proper divisors (3734574176).

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

3242882464 is a wasteful number, since it uses less digits than its factorization.

3242882464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 862 counting only the distinct ones).

The product of its digits is 589824, while the sum is 43.

The square root of 3242882464 is about 56946.3121193989. The cubic root of 3242882464 is about 1480.1659273426.

The spelling of 3242882464 in words is "three billion, two hundred forty-two million, eight hundred eighty-two thousand, four hundred sixty-four".