3862800000 has 576 divisors, whose sum is σ = 14761164600. Its totient is φ = 967680000.

The previous prime is 3862799987. The next prime is 3862800001. The reversal of 3862800000 is 82683.

3862800000 is a `hidden beast` number, since 38 + 628 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 913006656 + 2949793344 = 30216^2 + 54312^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3862800001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104399982 + ... + 104400018.

Almost surely, 2^3862800000 is an apocalyptic number.

3862800000 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 3862800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380582300).

3862800000 is an abundant number, since it is smaller than the sum of its proper divisors (10898364600).

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

3862800000 is an equidigital number, since it uses as much as digits as its factorization.

3862800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3862800000 is about 62151.4279803771. The cubic root of 3862800000 is about 1569.0402128650.

Adding to 3862800000 its reverse (82683), we get a palindrome (3862882683).

The spelling of 3862800000 in words is "three billion, eight hundred sixty-two million, eight hundred thousand".