3282537960 has 160 divisors (see below), whose sum is σ = 11881817640. Its totient is φ = 807998976.

The previous prime is 3282537949. The next prime is 3282538001. The reversal of 3282537960 is 697352823.

3282537960 is a `hidden beast` number, since 3 + 28 + 2 + 537 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1911613284 + 1370924676 = 43722^2 + 37026^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 3154 + ... + 81086.

Almost surely, 2^3282537960 is an apocalyptic number.

3282537960 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 3282537960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940908820).

3282537960 is an abundant number, since it is smaller than the sum of its proper divisors (8599279680).

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

3282537960 is a wasteful number, since it uses less digits than its factorization.

3282537960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77969 (or 77956 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3282537960 is about 57293.4373205169. The cubic root of 3282537960 is about 1486.1748890107.

The spelling of 3282537960 in words is "three billion, two hundred eighty-two million, five hundred thirty-seven thousand, nine hundred sixty".