3282755580 has 96 divisors (see below), whose sum is σ = 10998657600. Its totient is φ = 808061184.

The previous prime is 3282755557. The next prime is 3282755587. The reversal of 3282755580 is 855572823.

3282755580 is a `hidden beast` number, since 3 + 28 + 2 + 75 + 558 + 0 = 666.

It is a super-3 number, since 3×3282755580³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282755587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226795 + ... + 240834.

It is an arithmetic number, because the mean of its divisors is an integer number (114569350).

Almost surely, 2^3282755580 is an apocalyptic number.

3282755580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3282755580 is an abundant number, since it is smaller than the sum of its proper divisors (7715902020).

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

3282755580 is a wasteful number, since it uses less digits than its factorization.

3282755580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467660 (or 467652 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 3282755580 is about 57295.3364594362. The cubic root of 3282755580 is about 1486.2077308987.

The spelling of 3282755580 in words is "three billion, two hundred eighty-two million, seven hundred fifty-five thousand, five hundred eighty".