3339463171968 has 768 divisors, whose sum is σ = 12648659328000. Its totient is φ = 857604464640.

The previous prime is 3339463171951. The next prime is 3339463171991. The reversal of 3339463171968 is 8691713649333.

3339463171968 is a `hidden beast` number, since 3 + 339 + 46 + 3 + 171 + 96 + 8 = 666.

It is a super-2 number, since 2×3339463171968² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165777705 + ... + 165797847.

It is an arithmetic number, because the mean of its divisors is an integer number (16469608500).

Almost surely, 2^{3339463171968} 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 3339463171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324329664000).

3339463171968 is an abundant number, since it is smaller than the sum of its proper divisors (9309196156032).

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

3339463171968 is a wasteful number, since it uses less digits than its factorization.

3339463171968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20280 (or 20255 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 3339463171968 in words is "three trillion, three hundred thirty-nine billion, four hundred sixty-three million, one hundred seventy-one thousand, nine hundred sixty-eight".