3666079872 has 256 divisors, whose sum is σ = 13318099200. Its totient is φ = 966795264.

The previous prime is 3666079861. The next prime is 3666079877. The reversal of 3666079872 is 2789706663.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3666079877) 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 31 ways as a sum of consecutive naturals, for example, 308668 + ... + 320324.

It is an arithmetic number, because the mean of its divisors is an integer number (52023825).

Almost surely, 2^3666079872 is an apocalyptic number.

3666079872 is a gapful number since it is divisible by the number (32) 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 3666079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659049600).

3666079872 is an abundant number, since it is smaller than the sum of its proper divisors (9652019328).

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

3666079872 is a wasteful number, since it uses less digits than its factorization.

3666079872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700 (or 11682 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3666079872 is about 60548.1615905884. The cubic root of 3666079872 is about 1541.9394062398.

The spelling of 3666079872 in words is "three billion, six hundred sixty-six million, seventy-nine thousand, eight hundred seventy-two".