3716671680 has 168 divisors, whose sum is σ = 12806476800. Its totient is φ = 989356032.

The previous prime is 3716671669. The next prime is 3716671711. The reversal of 3716671680 is 861766173.

3716671680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2905281 + ... + 2906559.

Almost surely, 2^3716671680 is an apocalyptic number.

3716671680 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 3716671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403238400).

3716671680 is an abundant number, since it is smaller than the sum of its proper divisors (9089805120).

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

3716671680 is a wasteful number, since it uses less digits than its factorization.

3716671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 3716671680 is about 60964.5116440704. The cubic root of 3716671680 is about 1548.9999348448. Note that the first 4 decimals are identical.

The spelling of 3716671680 in words is "three billion, seven hundred sixteen million, six hundred seventy-one thousand, six hundred eighty".