3269959680 has 448 divisors, whose sum is σ = 11890126080. Its totient is φ = 761266176.

The previous prime is 3269959663. The next prime is 3269959681. The reversal of 3269959680 is 869599623.

It is a self number, because there is not a number n which added to its sum of digits gives 3269959680.

It is not an unprimeable number, because it can be changed into a prime (3269959681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36741076 + ... + 36741164.

It is an arithmetic number, because the mean of its divisors is an integer number (26540460).

Almost surely, 2^3269959680 is an apocalyptic number.

3269959680 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 3269959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945063040).

3269959680 is an abundant number, since it is smaller than the sum of its proper divisors (8620166400).

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

3269959680 is a wasteful number, since it uses less digits than its factorization.

3269959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The square root of 3269959680 is about 57183.5612741984. The cubic root of 3269959680 is about 1484.2741796447.

The spelling of 3269959680 in words is "three billion, two hundred sixty-nine million, nine hundred fifty-nine thousand, six hundred eighty".