3282975940608 has 1176 divisors, whose sum is σ = 12346112415168. Its totient is φ = 864836517888.

The previous prime is 3282975940589. The next prime is 3282975940687. The reversal of 3282975940608 is 8060495792823.

3282975940608 is a `hidden beast` number, since 32 + 8 + 2 + 9 + 7 + 594 + 0 + 6 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×3282975940608² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3804143185 + ... + 3804144047.

Almost surely, 2^{3282975940608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3282975940608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173056207584).

3282975940608 is an abundant number, since it is smaller than the sum of its proper divisors (9063136474560).

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

3282975940608 is an frugal number, since it uses more digits than its factorization.

3282975940608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3282975940608 in words is "three trillion, two hundred eighty-two billion, nine hundred seventy-five million, nine hundred forty thousand, six hundred eight".