3396957768288 has 288 divisors, whose sum is σ = 11441701619712. Its totient is φ = 935504640000.

The previous prime is 3396957768277. The next prime is 3396957768289. The reversal of 3396957768288 is 8828677596933.

3396957768288 is a `hidden beast` number, since 3 + 39 + 6 + 9 + 577 + 6 + 8 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3396957768289) by changing a digit.

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, 15578220 + ... + 15794772.

It is an arithmetic number, because the mean of its divisors is an integer number (39728130624).

Almost surely, 2^{3396957768288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3396957768288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720850809856).

3396957768288 is an abundant number, since it is smaller than the sum of its proper divisors (8044743851424).

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

3396957768288 is a wasteful number, since it uses less digits than its factorization.

3396957768288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216858 (or 216847 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 81.

The spelling of 3396957768288 in words is "three trillion, three hundred ninety-six billion, nine hundred fifty-seven million, seven hundred sixty-eight thousand, two hundred eighty-eight".