3728157888 has 448 divisors, whose sum is σ = 12799324160. Its totient is φ = 931627008.

The previous prime is 3728157869. The next prime is 3728157889. The reversal of 3728157888 is 8887518273.

3728157888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3728157888² = 27798322475713241088, which contains 22 as substring.

Its product of digits (6021120) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (3728157889) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47191833 + ... + 47191911.

It is an arithmetic number, because the mean of its divisors is an integer number (28569920).

Almost surely, 2^3728157888 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 3728157888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399662080).

3728157888 is an abundant number, since it is smaller than the sum of its proper divisors (9071166272).

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

3728157888 is a wasteful number, since it uses less digits than its factorization.

3728157888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 57.

The square root of 3728157888 is about 61058.6430245547. The cubic root of 3728157888 is about 1550.5939989052.

The spelling of 3728157888 in words is "three billion, seven hundred twenty-eight million, one hundred fifty-seven thousand, eight hundred eighty-eight".