3290497966080 has 2240 divisors, whose sum is σ = 13811570454528. Its totient is φ = 742753566720.

The previous prime is 3290497966037. The next prime is 3290497966121. The reversal of 3290497966080 is 806697940923.

3290497966080 is a `hidden beast` number, since 3 + 2 + 9 + 0 + 497 + 9 + 6 + 60 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3290497965999 and 3290497966017.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 30752317387 + ... + 30752317493.

Almost surely, 2^{3290497966080} is an apocalyptic number.

3290497966080 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 3290497966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905785227264).

3290497966080 is an abundant number, since it is smaller than the sum of its proper divisors (10521072488448).

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

3290497966080 is a wasteful number, since it uses less digits than its factorization.

3290497966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 3290497966080 in words is "three trillion, two hundred ninety billion, four hundred ninety-seven million, nine hundred sixty-six thousand, eighty".