3282358968 has 192 divisors, whose sum is σ = 10661414400. Its totient is φ = 892442880.

The previous prime is 3282358967. The next prime is 3282358969. The reversal of 3282358968 is 8698532823.

3282358968 is a `hidden beast` number, since 3 + 282 + 358 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3282358967) and next prime (3282358969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282358967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1036155 + ... + 1039317.

It is an arithmetic number, because the mean of its divisors is an integer number (55528200).

Almost surely, 2^3282358968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3282358968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330707200).

3282358968 is an abundant number, since it is smaller than the sum of its proper divisors (7379055432).

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

3282358968 is a wasteful number, since it uses less digits than its factorization.

3282358968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3275 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 3282358968 is about 57291.8752354991. The cubic root of 3282358968 is about 1486.1478755378.

It can be divided in two parts, 328 and 2358968, that added together give a square (2359296 = 1536²).

The spelling of 3282358968 in words is "three billion, two hundred eighty-two million, three hundred fifty-eight thousand, nine hundred sixty-eight".