38468160 has 252 divisors, whose sum is σ = 143419068. Its totient is φ = 9455616.

The previous prime is 38468149. The next prime is 38468201. The reversal of 38468160 is 6186483.

It is a happy number.

38468160 is a `hidden beast` number, since 38 + 468 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25160256 + 13307904 = 5016^2 + 3648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1039662 + ... + 1039698.

Almost surely, 2^38468160 is an apocalyptic number.

38468160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71709534).

38468160 is an abundant number, since it is smaller than the sum of its proper divisors (104950908).

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

38468160 is a wasteful number, since it uses less digits than its factorization.

38468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38468160 is about 6202.2705519834. The cubic root of 38468160 is about 337.5725605305.

The spelling of 38468160 in words is "thirty-eight million, four hundred sixty-eight thousand, one hundred sixty".