3846787200 has 672 divisors, whose sum is σ = 15241251060. Its totient is φ = 955514880.

The previous prime is 3846787193. The next prime is 3846787229. The reversal of 3846787200 is 27876483.

It is a happy number.

3846787200 is a `hidden beast` number, since 384 + 67 + 8 + 7 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1847624256 + 1999162944 = 42984^2 + 44712^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 39657552 + ... + 39657648.

Almost surely, 2^3846787200 is an apocalyptic number.

3846787200 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 3846787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620625530).

3846787200 is an abundant number, since it is smaller than the sum of its proper divisors (11394463860).

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

3846787200 is an equidigital number, since it uses as much as digits as its factorization.

3846787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3846787200 is about 62022.4733463605. The cubic root of 3846787200 is about 1566.8691172407.

The spelling of 3846787200 in words is "three billion, eight hundred forty-six million, seven hundred eighty-seven thousand, two hundred".