3768725800 has 96 divisors (see below), whose sum is σ = 10337195520. Its totient is φ = 1250438400.

The previous prime is 3768725773. The next prime is 3768725803. The reversal of 3768725800 is 85278673.

It is not an unprimeable number, because it can be changed into a prime (3768725803) 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 23 ways as a sum of consecutive naturals, for example, 19 + ... + 86818.

It is an arithmetic number, because the mean of its divisors is an integer number (107679120).

Almost surely, 2^3768725800 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 3768725800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168597760).

3768725800 is an abundant number, since it is smaller than the sum of its proper divisors (6568469720).

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

3768725800 is a wasteful number, since it uses less digits than its factorization.

3768725800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86891 (or 86882 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 3768725800 is about 61389.9486886901. The cubic root of 3768725800 is about 1556.1979788313.

The spelling of 3768725800 in words is "three billion, seven hundred sixty-eight million, seven hundred twenty-five thousand, eight hundred".