38053888 has 48 divisors (see below), whose sum is σ = 80638740. Its totient is φ = 17891328.

The previous prime is 38053877. The next prime is 38053889. The reversal of 38053888 is 88835083.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 8111104 = 5472^2 + 2848^2 .

It is a Smith number, since the sum of its digits (43) 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 (38053889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34270 + ... + 35362.

Almost surely, 2^38053888 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 38053888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40319370).

38053888 is an abundant number, since it is smaller than the sum of its proper divisors (42584852).

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

38053888 is a wasteful number, since it uses less digits than its factorization.

38053888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 38053888 is about 6168.7833484408. The cubic root of 38053888 is about 336.3563867840.

The spelling of 38053888 in words is "thirty-eight million, fifty-three thousand, eight hundred eighty-eight".