3850960960 has 336 divisors, whose sum is σ = 11820997440. Its totient is φ = 1181429760.

The previous prime is 3850960951. The next prime is 3850960961. The reversal of 3850960960 is 690690583.

It is a self number, because there is not a number n which added to its sum of digits gives 3850960960.

It is not an unprimeable number, because it can be changed into a prime (3850960961) 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, 14315706 + ... + 14315974.

It is an arithmetic number, because the mean of its divisors is an integer number (35181540).

Almost surely, 2^3850960960 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 3850960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910498720).

3850960960 is an abundant number, since it is smaller than the sum of its proper divisors (7970036480).

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

3850960960 is a wasteful number, since it uses less digits than its factorization.

3850960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 3850960960 is about 62056.1113831668. Note that the first 3 decimals coincide. The cubic root of 3850960960 is about 1567.4355961862.

The spelling of 3850960960 in words is "three billion, eight hundred fifty million, nine hundred sixty thousand, nine hundred sixty".