3282036000 has 96 divisors (see below), whose sum is σ = 10751989248. Its totient is φ = 875206400.

The previous prime is 3282035987. The next prime is 3282036007. The reversal of 3282036000 is 6302823.

3282036000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3282036007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124752 + ... + 148751.

It is an arithmetic number, because the mean of its divisors is an integer number (111999888).

Almost surely, 2^3282036000 is an apocalyptic number.

3282036000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3282036000 is an abundant number, since it is smaller than the sum of its proper divisors (7469953248).

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

3282036000 is a wasteful number, since it uses less digits than its factorization.

3282036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273531 (or 273513 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3282036000 is about 57289.0565466041. The cubic root of 3282036000 is about 1486.0991307219.

Adding to 3282036000 its reverse (6302823), we get a palindrome (3288338823).

The spelling of 3282036000 in words is "three billion, two hundred eighty-two million, thirty-six thousand".