38138160 has 40 divisors (see below), whose sum is σ = 118229040. Its totient is φ = 10170112.

The previous prime is 38138143. The next prime is 38138167. The reversal of 38138160 is 6183183.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (38138167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79215 + ... + 79694.

It is an arithmetic number, because the mean of its divisors is an integer number (2955726).

Almost surely, 2^38138160 is an apocalyptic number.

38138160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38138160 is an abundant number, since it is smaller than the sum of its proper divisors (80090880).

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

38138160 is a wasteful number, since it uses less digits than its factorization.

38138160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158925 (or 158919 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 38138160 is about 6175.6100913189. The cubic root of 38138160 is about 336.6044957032.

The spelling of 38138160 in words is "thirty-eight million, one hundred thirty-eight thousand, one hundred sixty".