3270879682560 has 672 divisors, whose sum is σ = 13640333765760. Its totient is φ = 708270096384.

The previous prime is 3270879682549. The next prime is 3270879682607. The reversal of 3270879682560 is 652869780723.

3270879682560 is a `hidden beast` number, since 3 + 2 + 7 + 0 + 8 + 7 + 9 + 68 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 47 ways as a sum of consecutive naturals, for example, 48995764 + ... + 49062476.

Almost surely, 2^{3270879682560} is an apocalyptic number.

3270879682560 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 3270879682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820166882880).

3270879682560 is an abundant number, since it is smaller than the sum of its proper divisors (10369454083200).

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

3270879682560 is a wasteful number, since it uses less digits than its factorization.

3270879682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66776 (or 66749 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3270879682560 in words is "three trillion, two hundred seventy billion, eight hundred seventy-nine million, six hundred eighty-two thousand, five hundred sixty".