3725431200 has 216 divisors, whose sum is σ = 13561382016. Its totient is φ = 961344000.

The previous prime is 3725431183. The next prime is 3725431201. The reversal of 3725431200 is 21345273.

3725431200 is a `hidden beast` number, since 3 + 7 + 25 + 431 + 200 = 666.

It is not an unprimeable number, because it can be changed into a prime (3725431201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214855 + ... + 231545.

It is an arithmetic number, because the mean of its divisors is an integer number (62784176).

Almost surely, 2^3725431200 is an apocalyptic number.

3725431200 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 3725431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780691008).

3725431200 is an abundant number, since it is smaller than the sum of its proper divisors (9835950816).

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

3725431200 is a wasteful number, since it uses less digits than its factorization.

3725431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16748 (or 16732 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3725431200 is about 61036.3105044858. The cubic root of 3725431200 is about 1550.2158839088.

Adding to 3725431200 its reverse (21345273), we get a palindrome (3746776473).

The spelling of 3725431200 in words is "three billion, seven hundred twenty-five million, four hundred thirty-one thousand, two hundred".