3800568960 has 384 divisors, whose sum is σ = 14284998000. Its totient is φ = 927203328.

The previous prime is 3800568953. The next prime is 3800568971. The reversal of 3800568960 is 698650083.

3800568960 is a `hidden beast` number, since 3 + 80 + 0 + 568 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3579868224 + 220700736 = 59832^2 + 14856^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3622516 + ... + 3623564.

Almost surely, 2^3800568960 is an apocalyptic number.

3800568960 is a gapful number since it is divisible by the number (30) 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 3800568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142499000).

3800568960 is an abundant number, since it is smaller than the sum of its proper divisors (10484429040).

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

3800568960 is a wasteful number, since it uses less digits than its factorization.

3800568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3800568960 is about 61648.7547319490. The cubic root of 3800568960 is about 1560.5686289982.

The spelling of 3800568960 in words is "three billion, eight hundred million, five hundred sixty-eight thousand, nine hundred sixty".