3863052800 has 240 divisors, whose sum is σ = 10405162152. Its totient is φ = 1415577600.

The previous prime is 3863052797. The next prime is 3863052847. The reversal of 3863052800 is 82503683.

It can be written as a sum of positive squares in 12 ways, for example, as 42823936 + 3820228864 = 6544^2 + 61808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8921384 + ... + 8921816.

Almost surely, 2^3863052800 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 3863052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202581076).

3863052800 is an abundant number, since it is smaller than the sum of its proper divisors (6542109352).

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

3863052800 is a wasteful number, since it uses less digits than its factorization.

3863052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 3863052800 is about 62153.4616895954. The cubic root of 3863052800 is about 1569.0744406025.

The spelling of 3863052800 in words is "three billion, eight hundred sixty-three million, fifty-two thousand, eight hundred".