3666105612 has 144 divisors (see below), whose sum is σ = 10339213248. Its totient is φ = 1088156160.

The previous prime is 3666105529. The next prime is 3666105617. The reversal of 3666105612 is 2165016663.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3666105617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1511833 + ... + 1514255.

It is an arithmetic number, because the mean of its divisors is an integer number (71800092).

Almost surely, 2^3666105612 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 3666105612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169606624).

3666105612 is an abundant number, since it is smaller than the sum of its proper divisors (6673107636).

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

3666105612 is a wasteful number, since it uses less digits than its factorization.

3666105612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3666105612 is about 60548.3741482792. The cubic root of 3666105612 is about 1541.9430149471.

It can be divided in two parts, 3666 and 105612, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 3666105612 in words is "three billion, six hundred sixty-six million, one hundred five thousand, six hundred twelve".