3270849684480 has 1056 divisors, whose sum is σ = 13221816281856. Its totient is φ = 732249980928.

The previous prime is 3270849684463. The next prime is 3270849684499. The reversal of 3270849684480 is 844869480723.

3270849684480 is a `hidden beast` number, since 3 + 2 + 70 + 8 + 4 + 9 + 6 + 84 + 480 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3347849752 + ... + 3347850728.

Almost surely, 2^{3270849684480} is an apocalyptic number.

3270849684480 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 3270849684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610908140928).

3270849684480 is an abundant number, since it is smaller than the sum of its proper divisors (9950966597376).

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

3270849684480 is a wasteful number, since it uses less digits than its factorization.

3270849684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 3270849684480 in words is "three trillion, two hundred seventy billion, eight hundred forty-nine million, six hundred eighty-four thousand, four hundred eighty".