3666885120 has 160 divisors (see below), whose sum is σ = 13025327040. Its totient is φ = 977817600.

The previous prime is 3666885109. The next prime is 3666885149. The reversal of 3666885120 is 215886663.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42595 + ... + 95645.

It is an arithmetic number, because the mean of its divisors is an integer number (81408294).

Almost surely, 2^3666885120 is an apocalyptic number.

3666885120 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 3666885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6512663520).

3666885120 is an abundant number, since it is smaller than the sum of its proper divisors (9358441920).

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

3666885120 is an equidigital number, since it uses as much as digits as its factorization.

3666885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53083 (or 53061 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3666885120 is about 60554.8108741164. The cubic root of 3666885120 is about 1542.0522927352.

The spelling of 3666885120 in words is "three billion, six hundred sixty-six million, eight hundred eighty-five thousand, one hundred twenty".