38158120 has 128 divisors (see below), whose sum is σ = 115395840. Its totient is φ = 10967040.

The previous prime is 38158093. The next prime is 38158121. The reversal of 38158120 is 2185183.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (38158121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39564 + ... + 40516.

It is an arithmetic number, because the mean of its divisors is an integer number (901530).

Almost surely, 2^38158120 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 38158120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57697920).

38158120 is an abundant number, since it is smaller than the sum of its proper divisors (77237720).

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

38158120 is a wasteful number, since it uses less digits than its factorization.

38158120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 38158120 is about 6177.2259145995. The cubic root of 38158120 is about 336.6632072753.

It can be divided in two parts, 3815 and 8120, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 38158120 in words is "thirty-eight million, one hundred fifty-eight thousand, one hundred twenty".