3660316416 has 108 divisors (see below), whose sum is σ = 11012605968. Its totient is φ = 1167040512.

The previous prime is 3660316379. The next prime is 3660316421. The reversal of 3660316416 is 6146130663.

3660316416 is a `hidden beast` number, since 3 + 6 + 6 + 0 + 3 + 1 + 641 + 6 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 18456 + ... + 87528.

Almost surely, 2^3660316416 is an apocalyptic number.

3660316416 is a gapful number since it is divisible by the number (36) 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 3660316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506302984).

3660316416 is an abundant number, since it is smaller than the sum of its proper divisors (7352289552).

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

3660316416 is a wasteful number, since it uses less digits than its factorization.

3660316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69118 (or 69101 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3660316416 is about 60500.5488900721. The cubic root of 3660316416 is about 1541.1309531286.

The spelling of 3660316416 in words is "three billion, six hundred sixty million, three hundred sixteen thousand, four hundred sixteen".