3783873600 has 1008 divisors, whose sum is σ = 16250991120. Its totient is φ = 825753600.

The previous prime is 3783873593. The next prime is 3783873601. The reversal of 3783873600 is 63783873.

3783873600 is a `hidden beast` number, since 3 + 7 + 8 + 38 + 7 + 3 + 600 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 3395625984 + 388247616 = 58272^2 + 19704^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3783873601) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 92289580 + ... + 92289620.

It is an arithmetic number, because the mean of its divisors is an integer number (16122015).

Almost surely, 2^3783873600 is an apocalyptic number.

3783873600 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 3783873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125495560).

3783873600 is an abundant number, since it is smaller than the sum of its proper divisors (12467117520).

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

3783873600 is a wasteful number, since it uses less digits than its factorization.

3783873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3783873600 is about 61513.1985837186. The cubic root of 3783873600 is about 1558.2801559124.

The spelling of 3783873600 in words is "three billion, seven hundred eighty-three million, eight hundred seventy-three thousand, six hundred".