3282667830 has 96 divisors (see below), whose sum is σ = 9479077920. Its totient is φ = 808030080.

The previous prime is 3282667807. The next prime is 3282667831. The reversal of 3282667830 is 387662823.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282667831) 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, 9660 + ... + 81600.

It is an arithmetic number, because the mean of its divisors is an integer number (98740395).

Almost surely, 2^3282667830 is an apocalyptic number.

3282667830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3282667830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739538960).

3282667830 is an abundant number, since it is smaller than the sum of its proper divisors (6196410090).

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

3282667830 is a wasteful number, since it uses less digits than its factorization.

3282667830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71983 (or 71964 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3282667830 is about 57294.5706851880. The cubic root of 3282667830 is about 1486.1944883766.

The spelling of 3282667830 in words is "three billion, two hundred eighty-two million, six hundred sixty-seven thousand, eight hundred thirty".