3313501728768 has 468 divisors, whose sum is σ = 12023401017264. Its totient is φ = 860641689600.

The previous prime is 3313501728763. The next prime is 3313501728769. The reversal of 3313501728768 is 8678271053133.

It is a happy number.

3313501728768 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 501 + 72 + 8 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313501728763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31170748 + ... + 31276868.

Almost surely, 2^{3313501728768} 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 3313501728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011700508632).

3313501728768 is an abundant number, since it is smaller than the sum of its proper divisors (8709899288496).

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

3313501728768 is a wasteful number, since it uses less digits than its factorization.

3313501728768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106180 (or 106144 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3313501728768 in words is "three trillion, three hundred thirteen billion, five hundred one million, seven hundred twenty-eight thousand, seven hundred sixty-eight".