3282982164 has 270 divisors, whose sum is σ = 10980092970. Its totient is φ = 852223680.

The previous prime is 3282982159. The next prime is 3282982259. The reversal of 3282982164 is 4612892823.

It can be written as a sum of positive squares in only one way, i.e., 2353220100 + 929762064 = 48510^2 + 30492^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1920142 + ... + 1921850.

It is an arithmetic number, because the mean of its divisors is an integer number (40667011).

Almost surely, 2^3282982164 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 3282982164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490046485).

3282982164 is an abundant number, since it is smaller than the sum of its proper divisors (7697110806).

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

3282982164 is a wasteful number, since it uses less digits than its factorization.

3282982164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1732 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 3282982164 is about 57297.3137590236. The cubic root of 3282982164 is about 1486.2419240368.

The spelling of 3282982164 in words is "three billion, two hundred eighty-two million, nine hundred eighty-two thousand, one hundred sixty-four".