38158848 has 270 divisors, whose sum is σ = 138721869. Its totient is φ = 10063872.

The previous prime is 38158843. The next prime is 38158853. The reversal of 38158848 is 84885183.

38158848 = 79³ + 80³ + ... + 117³.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (38158843) and next prime (38158853).

It can be written as a sum of positive squares in 2 ways, for example, as 32626944 + 5531904 = 5712^2 + 2352^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4368.

Its product of digits (245760) is a multiple of the sum of its prime factors (64).

It is not an unprimeable number, because it can be changed into a prime (38158843) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2935290 + ... + 2935302.

Almost surely, 2^38158848 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 38158848

38158848 is an abundant number, since it is smaller than the sum of its proper divisors (100563021).

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

38158848 is a wasteful number, since it uses less digits than its factorization.

38158848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 25 counting only the distinct ones).

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

The square root of 38158848 is about 6177.2848404457. The cubic root of 38158848 is about 336.6653482722.

The spelling of 38158848 in words is "thirty-eight million, one hundred fifty-eight thousand, eight hundred forty-eight".