3728729088 has 396 divisors, whose sum is σ = 13105385280. Its totient is φ = 1016193024.

The previous prime is 3728729077. The next prime is 3728729089. The reversal of 3728729088 is 8809278273.

3728729088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3728729088² = 27806841223394623488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3728729089) 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, 10386253 + ... + 10386611.

Almost surely, 2^3728729088 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 3728729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552692640).

3728729088 is an abundant number, since it is smaller than the sum of its proper divisors (9376656192).

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

3728729088 is a wasteful number, since it uses less digits than its factorization.

3728729088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 3728729088 is about 61063.3203158819. The cubic root of 3728729088 is about 1550.6731849348.

The spelling of 3728729088 in words is "three billion, seven hundred twenty-eight million, seven hundred twenty-nine thousand, eighty-eight".