3381018340368 has 240 divisors, whose sum is σ = 9145087635264. Its totient is φ = 1075577564160.

The previous prime is 3381018340327. The next prime is 3381018340489. The reversal of 3381018340368 is 8630438101833.

It is a super-2 number, since 2×3381018340368² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 2208371763 + ... + 2208373293.

Almost surely, 2^{3381018340368} 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 3381018340368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572543817632).

3381018340368 is an abundant number, since it is smaller than the sum of its proper divisors (5764069294896).

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

3381018340368 is a wasteful number, since it uses less digits than its factorization.

3381018340368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 3381018340368 in words is "three trillion, three hundred eighty-one billion, eighteen million, three hundred forty thousand, three hundred sixty-eight".