3486961820160 has 1920 divisors, whose sum is σ = 15918885126144. Its totient is φ = 711619706880.

The previous prime is 3486961820159. The next prime is 3486961820189. The reversal of 3486961820160 is 610281696843.

3486961820160 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 9 + 618 + 2 + 0 + 16 + 0 = 666.

3486961820160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 = 3486961820097 and 3486961820106.

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, 1754886687 + ... + 1754888673.

Almost surely, 2^{3486961820160} is an apocalyptic number.

3486961820160 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 3486961820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959442563072).

3486961820160 is an abundant number, since it is smaller than the sum of its proper divisors (12431923305984).

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

3486961820160 is a wasteful number, since it uses less digits than its factorization.

3486961820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3486961820160 in words is "three trillion, four hundred eighty-six billion, nine hundred sixty-one million, eight hundred twenty thousand, one hundred sixty".