3444164364186 has 288 divisors, whose sum is σ = 9625380710400. Its totient is φ = 903756439872.

The previous prime is 3444164364167. The next prime is 3444164364227. The reversal of 3444164364186 is 6814634614443.

3444164364186 is a `hidden beast` number, since 3 + 4 + 4 + 41 + 64 + 364 + 186 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114397611 + ... + 114427713.

It is an arithmetic number, because the mean of its divisors is an integer number (33421460800).

Almost surely, 2^{3444164364186} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444164364186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812690355200).

3444164364186 is an abundant number, since it is smaller than the sum of its proper divisors (6181216346214).

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

3444164364186 is a wasteful number, since it uses less digits than its factorization.

3444164364186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30352 (or 30327 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 54.

The spelling of 3444164364186 in words is "three trillion, four hundred forty-four billion, one hundred sixty-four million, three hundred sixty-four thousand, one hundred eighty-six".