3717480096 has 288 divisors, whose sum is σ = 12092572800. Its totient is φ = 1123943040.

The previous prime is 3717480073. The next prime is 3717480097. The reversal of 3717480096 is 6900847173.

3717480096 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3717480097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8467845 + ... + 8468283.

It is an arithmetic number, because the mean of its divisors is an integer number (41988100).

Almost surely, 2^3717480096 is an apocalyptic number.

3717480096 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 3717480096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046286400).

3717480096 is an abundant number, since it is smaller than the sum of its proper divisors (8375092704).

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

3717480096 is an equidigital number, since it uses as much as digits as its factorization.

3717480096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 455 counting only the distinct ones).

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

The square root of 3717480096 is about 60971.1415015333. The cubic root of 3717480096 is about 1549.1122347428.

The spelling of 3717480096 in words is "three billion, seven hundred seventeen million, four hundred eighty thousand, ninety-six".