3385998812160 has 264 divisors, whose sum is σ = 11735169349176. Its totient is φ = 902719733760.

The previous prime is 3385998812129. The next prime is 3385998812167. The reversal of 3385998812160 is 612188995833.

3385998812160 is a `hidden beast` number, since 3 + 38 + 599 + 8 + 8 + 1 + 2 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72666906624 + 3313331905536 = 269568^2 + 1820256^2 .

It is a super-2 number, since 2×3385998812160² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3385998812167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337346662 + ... + 337356698.

Almost surely, 2^{3385998812160} is an apocalyptic number.

3385998812160 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 3385998812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867584674588).

3385998812160 is an abundant number, since it is smaller than the sum of its proper divisors (8349170537016).

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

3385998812160 is a wasteful number, since it uses less digits than its factorization.

3385998812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17389 (or 17368 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 3385998812160 in words is "three trillion, three hundred eighty-five billion, nine hundred ninety-eight million, eight hundred twelve thousand, one hundred sixty".