3768519168 has 200 divisors, whose sum is σ = 11385560340. Its totient is φ = 1240842240.

The previous prime is 3768519137. The next prime is 3768519191. The reversal of 3768519168 is 8619158673.

3768519168 is a `hidden beast` number, since 3 + 7 + 68 + 519 + 1 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3710271744 + 58247424 = 60912^2 + 7632^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3690498 + ... + 3691518.

Almost surely, 2^3768519168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3768519168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692780170).

3768519168 is an abundant number, since it is smaller than the sum of its proper divisors (7617041172).

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

3768519168 is an equidigital number, since it uses as much as digits as its factorization.

3768519168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1115 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 3768519168 is about 61388.2657191095. The cubic root of 3768519168 is about 1556.1695371957.

The spelling of 3768519168 in words is "three billion, seven hundred sixty-eight million, five hundred nineteen thousand, one hundred sixty-eight".