3880543824 has 240 divisors, whose sum is σ = 11633965200. Its totient is φ = 1205428224.

The previous prime is 3880543817. The next prime is 3880543829. The reversal of 3880543824 is 4283450883.

3880543824 is a `hidden beast` number, since 3 + 8 + 80 + 543 + 8 + 24 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 300675600 + 3579868224 = 17340^2 + 59832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3880543824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880543829) 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, 19698094 + ... + 19698290.

It is an arithmetic number, because the mean of its divisors is an integer number (48474855).

Almost surely, 2^3880543824 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 3880543824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816982600).

3880543824 is an abundant number, since it is smaller than the sum of its proper divisors (7753421376).

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

3880543824 is a wasteful number, since it uses less digits than its factorization.

3880543824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 3880543824 is about 62294.0111407188. The cubic root of 3880543824 is about 1571.4390127728.

The spelling of 3880543824 in words is "three billion, eight hundred eighty million, five hundred forty-three thousand, eight hundred twenty-four".