3725136800 has 432 divisors, whose sum is σ = 11830305312. Its totient is φ = 1132185600.

The previous prime is 3725136769. The next prime is 3725136809. The reversal of 3725136800 is 86315273.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (3725136809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22853519 + ... + 22853681.

It is an arithmetic number, because the mean of its divisors is an integer number (27384966).

Almost surely, 2^3725136800 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 3725136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915152656).

3725136800 is an abundant number, since it is smaller than the sum of its proper divisors (8105168512).

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

3725136800 is a wasteful number, since it uses less digits than its factorization.

3725136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 3725136800 is about 61033.8987776465. The cubic root of 3725136800 is about 1550.1750478683.

The spelling of 3725136800 in words is "three billion, seven hundred twenty-five million, one hundred thirty-six thousand, eight hundred".