3320296515648 has 560 divisors, whose sum is σ = 12537023114880. Its totient is φ = 845857603584.

The previous prime is 3320296515617. The next prime is 3320296515659. The reversal of 3320296515648 is 8465156920233.

It is a happy number.

3320296515648 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 29 + 6 + 51 + 564 + 8 = 666.

It is a super-3 number, since 3×3320296515648³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 3320296515594 and 3320296515603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11579386 + ... + 11862662.

Almost surely, 2^{3320296515648} is an apocalyptic number.

3320296515648 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 3320296515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268511557440).

3320296515648 is an abundant number, since it is smaller than the sum of its proper divisors (9216726599232).

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

3320296515648 is a wasteful number, since it uses less digits than its factorization.

3320296515648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283344 (or 283325 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3320296515648 in words is "three trillion, three hundred twenty billion, two hundred ninety-six million, five hundred fifteen thousand, six hundred forty-eight".