3282665639040 has 96 divisors (see below), whose sum is σ = 11335454804700. Its totient is φ = 875377502208.

The previous prime is 3282665639017. The next prime is 3282665639047. The reversal of 3282665639040 is 409365662823.

It is a happy number.

3282665639040 is a `hidden beast` number, since 32 + 8 + 2 + 6 + 6 + 563 + 9 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3025178404416 + 257487234624 = 1739304^2 + 507432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3282665639047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284947855 + ... + 284959374.

Almost surely, 2^{3282665639040} is an apocalyptic number.

3282665639040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3282665639040 is an abundant number, since it is smaller than the sum of its proper divisors (8052789165660).

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

3282665639040 is a wasteful number, since it uses less digits than its factorization.

3282665639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569907254 (or 569907239 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3282665639040 in words is "three trillion, two hundred eighty-two billion, six hundred sixty-five million, six hundred thirty-nine thousand, forty".