3310386121728 has 528 divisors, whose sum is σ = 11870226135040. Its totient is φ = 867129753600.

The previous prime is 3310386121727. The next prime is 3310386121751. The reversal of 3310386121728 is 8271216830133.

3310386121728 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 3 + 8 + 612 + 1 + 7 + 28 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3310386121727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37954008 + ... + 38041128.

Almost surely, 2^{3310386121728} is an apocalyptic number.

3310386121728 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 3310386121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935113067520).

3310386121728 is an abundant number, since it is smaller than the sum of its proper divisors (8559840013312).

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

3310386121728 is a wasteful number, since it uses less digits than its factorization.

3310386121728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87204 (or 87183 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3310386121728 in words is "three trillion, three hundred ten billion, three hundred eighty-six million, one hundred twenty-one thousand, seven hundred twenty-eight".