3483327670164 has 96 divisors (see below), whose sum is σ = 9207685549440. Its totient is φ = 1138403844864.

The previous prime is 3483327670157. The next prime is 3483327670177. The reversal of 3483327670164 is 4610767233843.

3483327670164 is a `hidden beast` number, since 3 + 483 + 32 + 7 + 6 + 70 + 1 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3483327670164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7990159 + ... + 8414825.

It is an arithmetic number, because the mean of its divisors is an integer number (95913391140).

Almost surely, 2^{3483327670164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483327670164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603842774720).

3483327670164 is an abundant number, since it is smaller than the sum of its proper divisors (5724357879276).

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

3483327670164 is a wasteful number, since it uses less digits than its factorization.

3483327670164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426166 (or 426158 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 3483327670164 in words is "three trillion, four hundred eighty-three billion, three hundred twenty-seven million, six hundred seventy thousand, one hundred sixty-four".