3680768016 has 120 divisors (see below), whose sum is σ = 10870554240. Its totient is φ = 1160299008.

The previous prime is 3680767969. The next prime is 3680768033. The reversal of 3680768016 is 6108670863.

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 23 ways as a sum of consecutive naturals, for example, 288525 + ... + 301011.

It is an arithmetic number, because the mean of its divisors is an integer number (90587952).

Almost surely, 2^3680768016 is an apocalyptic number.

3680768016 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 3680768016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435277120).

3680768016 is an abundant number, since it is smaller than the sum of its proper divisors (7189786224).

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

3680768016 is a wasteful number, since it uses less digits than its factorization.

3680768016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12613 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3680768016 is about 60669.3334065902. Note that the first 3 decimals coincide. The cubic root of 3680768016 is about 1543.9959215800.

The spelling of 3680768016 in words is "three billion, six hundred eighty million, seven hundred sixty-eight thousand, sixteen".