3486166184160 has 768 divisors, whose sum is σ = 14142173875200. Its totient is φ = 793923379200.

The previous prime is 3486166184159. The next prime is 3486166184167. The reversal of 3486166184160 is 614816616843.

3486166184160 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 1 + 6 + 618 + 4 + 16 + 0 = 666.

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 = 3486166184097 and 3486166184106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486166184167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50954775 + ... + 51023145.

It is an arithmetic number, because the mean of its divisors is an integer number (18414288900).

Almost surely, 2^{3486166184160} is an apocalyptic number.

3486166184160 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 3486166184160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071086937600).

3486166184160 is an abundant number, since it is smaller than the sum of its proper divisors (10656007691040).

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

3486166184160 is a wasteful number, since it uses less digits than its factorization.

3486166184160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68472 (or 68458 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 3486166184160 in words is "three trillion, four hundred eighty-six billion, one hundred sixty-six million, one hundred eighty-four thousand, one hundred sixty".