3728181600 has 1152 divisors, whose sum is σ = 17008911360. Its totient is φ = 774144000.

The previous prime is 3728181581. The next prime is 3728181607. The reversal of 3728181600 is 61818273.

3728181600 is a `hidden beast` number, since 37 + 2 + 8 + 18 + 1 + 600 = 666.

3728181600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3728181607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52509565 + ... + 52509635.

It is an arithmetic number, because the mean of its divisors is an integer number (14764680).

Almost surely, 2^3728181600 is an apocalyptic number.

3728181600 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 3728181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8504455680).

3728181600 is an abundant number, since it is smaller than the sum of its proper divisors (13280729760).

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

3728181600 is a wasteful number, since it uses less digits than its factorization.

3728181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 3728181600 is about 61058.8371982304. The cubic root of 3728181600 is about 1550.5972862845.

Adding to 3728181600 its reverse (61818273), we get a palindrome (3789999873).

The spelling of 3728181600 in words is "three billion, seven hundred twenty-eight million, one hundred eighty-one thousand, six hundred".