3644005061166 has 64 divisors (see below), whose sum is σ = 7549330636800. Its totient is φ = 1171859159520.

The previous prime is 3644005061161. The next prime is 3644005061171. The reversal of 3644005061166 is 6611605004463.

It is an interprime number because it is at equal distance from previous prime (3644005061161) and next prime (3644005061171).

It is a super-3 number, since 3×3644005061166³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644005061161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 131070135 + ... + 131097933.

It is an arithmetic number, because the mean of its divisors is an integer number (117958291200).

Almost surely, 2^{3644005061166} is an apocalyptic number.

3644005061166 is an abundant number, since it is smaller than the sum of its proper divisors (3905325575634).

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

3644005061166 is a wasteful number, since it uses less digits than its factorization.

3644005061166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34469.

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 3644005061166 in words is "three trillion, six hundred forty-four billion, five million, sixty-one thousand, one hundred sixty-six".