3279360000 has 520 divisors, whose sum is σ = 12691987264. Its totient is φ = 737280000.

The previous prime is 3279359989. The next prime is 3279360037. The reversal of 3279360000 is 639723.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3279360000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53759970 + ... + 53760030.

Almost surely, 2^3279360000 is an apocalyptic number.

3279360000 is a gapful number since it is divisible by the number (30) 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 3279360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345993632).

3279360000 is an abundant number, since it is smaller than the sum of its proper divisors (9412627264).

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

3279360000 is an frugal number, since it uses more digits than its factorization.

3279360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 3279360000 is about 57265.6965381545. The cubic root of 3279360000 is about 1485.6951251403.

Adding to 3279360000 its reverse (639723), we get a palindrome (3279999723).

The spelling of 3279360000 in words is "three billion, two hundred seventy-nine million, three hundred sixty thousand".