38541888 has 252 divisors, whose sum is σ = 140533120. Its totient is φ = 9884160.

The previous prime is 38541887. The next prime is 38541911. The reversal of 38541888 is 88814583.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38541887) 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, 487833 + ... + 487911.

Almost surely, 2^38541888 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 38541888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70266560).

38541888 is an abundant number, since it is smaller than the sum of its proper divisors (101991232).

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

38541888 is a wasteful number, since it uses less digits than its factorization.

38541888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 38541888 is about 6208.2113366090. The cubic root of 38541888 is about 337.7880865326.

The spelling of 38541888 in words is "thirty-eight million, five hundred forty-one thousand, eight hundred eighty-eight".