3405123308160 has 2304 divisors, whose sum is σ = 14940130682880. Its totient is φ = 725594112000.

The previous prime is 3405123308159. The next prime is 3405123308203. The reversal of 3405123308160 is 618033215043.

3405123308160 is a `hidden beast` number, since 3 + 4 + 0 + 512 + 3 + 3 + 0 + 81 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33714092110 + ... + 33714092210.

It is an arithmetic number, because the mean of its divisors is an integer number (6484431720).

Almost surely, 2^{3405123308160} is an apocalyptic number.

3405123308160 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 3405123308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470065341440).

3405123308160 is an abundant number, since it is smaller than the sum of its proper divisors (11535007374720).

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

3405123308160 is an equidigital number, since it uses as much as digits as its factorization.

3405123308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3405123308160 in words is "three trillion, four hundred five billion, one hundred twenty-three million, three hundred eight thousand, one hundred sixty".