3320580676608 has 1760 divisors, whose sum is σ = 12183822604800. Its totient is φ = 893931945984.

The previous prime is 3320580676601. The next prime is 3320580676639. The reversal of 3320580676608 is 8066760850233.

3320580676608 is a `hidden beast` number, since 3 + 3 + 20 + 5 + 8 + 0 + 6 + 7 + 6 + 608 = 666.

It is a super-2 number, since 2×3320580676608² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320580676601) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114502781938 + ... + 114502781966.

It is an arithmetic number, because the mean of its divisors is an integer number (6922626480).

Almost surely, 2^{3320580676608} is an apocalyptic number.

3320580676608 is a gapful number since it is divisible by the number (38) 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 3320580676608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091911302400).

3320580676608 is an abundant number, since it is smaller than the sum of its proper divisors (8863241928192).

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

3320580676608 is an equidigital number, since it uses as much as digits as its factorization.

3320580676608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3320580676608 in words is "three trillion, three hundred twenty billion, five hundred eighty million, six hundred seventy-six thousand, six hundred eight".