3319138202688 has 1120 divisors, whose sum is σ = 13358520806400. Its totient is φ = 788523724800.

The previous prime is 3319138202641. The next prime is 3319138202689. The reversal of 3319138202688 is 8862028319133.

It is a super-2 number, since 2×3319138202688² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3319138202689) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 219934023 + ... + 219949113.

It is an arithmetic number, because the mean of its divisors is an integer number (11927250720).

Almost surely, 2^{3319138202688} is an apocalyptic number.

3319138202688 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 3319138202688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679260403200).

3319138202688 is an abundant number, since it is smaller than the sum of its proper divisors (10039382603712).

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

3319138202688 is a wasteful number, since it uses less digits than its factorization.

3319138202688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15181 (or 15162 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3319138202688 in words is "three trillion, three hundred nineteen billion, one hundred thirty-eight million, two hundred two thousand, six hundred eighty-eight".