3389128194816 has 864 divisors, whose sum is σ = 13005732999168. Its totient is φ = 823317626880.

The previous prime is 3389128194761. The next prime is 3389128194827. The reversal of 3389128194816 is 6184918219833.

3389128194816 is a `hidden beast` number, since 3 + 38 + 91 + 28 + 19 + 481 + 6 = 666.

It is a super-2 number, since 2×3389128194816² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 167511421 + ... + 167531651.

It is an arithmetic number, because the mean of its divisors is an integer number (15052931712).

Almost surely, 2^{3389128194816} is an apocalyptic number.

3389128194816 is a gapful number since it is divisible by the number (36) 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 3389128194816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502866499584).

3389128194816 is an abundant number, since it is smaller than the sum of its proper divisors (9616604804352).

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

3389128194816 is a wasteful number, since it uses less digits than its factorization.

3389128194816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20337 (or 20320 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 3389128194816 in words is "three trillion, three hundred eighty-nine billion, one hundred twenty-eight million, one hundred ninety-four thousand, eight hundred sixteen".