3728085760 has 288 divisors, whose sum is σ = 10949299200. Its totient is φ = 1187758080.

The previous prime is 3728085719. The next prime is 3728085763. The reversal of 3728085760 is 675808273.

It is a self number, because there is not a number n which added to its sum of digits gives 3728085760.

It is not an unprimeable number, because it can be changed into a prime (3728085763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10384461 + ... + 10384819.

It is an arithmetic number, because the mean of its divisors is an integer number (38018400).

Almost surely, 2^3728085760 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 3728085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474649600).

3728085760 is an abundant number, since it is smaller than the sum of its proper divisors (7221213440).

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

3728085760 is a wasteful number, since it uses less digits than its factorization.

3728085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 3728085760 is about 61058.0523764065. The cubic root of 3728085760 is about 1550.5839991530.

The spelling of 3728085760 in words is "three billion, seven hundred twenty-eight million, eighty-five thousand, seven hundred sixty".