3319985801160 has 512 divisors, whose sum is σ = 13056367104000. Its totient is φ = 734638657536.

The previous prime is 3319985801129. The next prime is 3319985801207. The reversal of 3319985801160 is 611085899133.

3319985801160 is a `hidden beast` number, since 3 + 319 + 98 + 5 + 80 + 1 + 160 = 666.

It is a super-2 number, since 2×3319985801160² (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 a junction number, because it is equal to n+sod(n) for n = 3319985801097 and 3319985801106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36688851 + ... + 36779229.

It is an arithmetic number, because the mean of its divisors is an integer number (25500717000).

Almost surely, 2^{3319985801160} is an apocalyptic number.

3319985801160 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 3319985801160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528183552000).

3319985801160 is an abundant number, since it is smaller than the sum of its proper divisors (9736381302840).

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

3319985801160 is a wasteful number, since it uses less digits than its factorization.

3319985801160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90562 (or 90552 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 3319985801160 in words is "three trillion, three hundred nineteen billion, nine hundred eighty-five million, eight hundred one thousand, one hundred sixty".