3716616960 has 504 divisors, whose sum is σ = 15281189280. Its totient is φ = 848019456.

The previous prime is 3716616931. The next prime is 3716616991. The reversal of 3716616960 is 696166173.

3716616960 is a `hidden beast` number, since 371 + 66 + 169 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531556 + ... + 6532124.

It is an arithmetic number, because the mean of its divisors is an integer number (30319820).

Almost surely, 2^3716616960 is an apocalyptic number.

3716616960 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 3716616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640594640).

3716616960 is an abundant number, since it is smaller than the sum of its proper divisors (11564572320).

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

3716616960 is an frugal number, since it uses more digits than its factorization.

3716616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3716616960 is about 60964.0628567355. The cubic root of 3716616960 is about 1548.9923329096.

The spelling of 3716616960 in words is "three billion, seven hundred sixteen million, six hundred sixteen thousand, nine hundred sixty".