3319482216960 has 1920 divisors, whose sum is σ = 14656561920000. Its totient is φ = 689818042368.

The previous prime is 3319482216943. The next prime is 3319482216971. The reversal of 3319482216960 is 696122849133.

3319482216960 is a `hidden beast` number, since 3 + 319 + 48 + 221 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3319482216960² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3319482216897 and 3319482216906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8116093236 + ... + 8116093644.

It is an arithmetic number, because the mean of its divisors is an integer number (7633626000).

Almost surely, 2^{3319482216960} is an apocalyptic number.

3319482216960 is a gapful number since it is divisible by the number (30) 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 3319482216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328280960000).

3319482216960 is an abundant number, since it is smaller than the sum of its proper divisors (11337079703040).

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

3319482216960 is a wasteful number, since it uses less digits than its factorization.

3319482216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3319482216960 in words is "three trillion, three hundred nineteen billion, four hundred eighty-two million, two hundred sixteen thousand, nine hundred sixty".