3811680768 has 160 divisors (see below), whose sum is σ = 11645504640. Its totient is φ = 1085276160.

The previous prime is 3811680751. The next prime is 3811680809. The reversal of 3811680768 is 8670861183.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 4956288 + ... + 4957056.

It is an arithmetic number, because the mean of its divisors is an integer number (72784404).

Almost surely, 2^3811680768 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 3811680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822752320).

3811680768 is an abundant number, since it is smaller than the sum of its proper divisors (7833823872).

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

3811680768 is an equidigital number, since it uses as much as digits as its factorization.

3811680768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 3811680768 is about 61738.8108729023. The cubic root of 3811680768 is about 1562.0880389182.

The spelling of 3811680768 in words is "three billion, eight hundred eleven million, six hundred eighty thousand, seven hundred sixty-eight".