3286808280 has 576 divisors, whose sum is σ = 13205687040. Its totient is φ = 732872448.

The previous prime is 3286808279. The next prime is 3286808321. The reversal of 3286808280 is 828086823.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31910709 + ... + 31910811.

It is an arithmetic number, because the mean of its divisors is an integer number (22926540).

Almost surely, 2^3286808280 is an apocalyptic number.

3286808280 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 3286808280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602843520).

3286808280 is an abundant number, since it is smaller than the sum of its proper divisors (9918878760).

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

3286808280 is a wasteful number, since it uses less digits than its factorization.

3286808280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 3286808280 is about 57330.6923035123. The cubic root of 3286808280 is about 1486.8190747337.

The spelling of 3286808280 in words is "three billion, two hundred eighty-six million, eight hundred eight thousand, two hundred eighty".