38180160 has 168 divisors, whose sum is σ = 136465056. Its totient is φ = 10160640.

The previous prime is 38180159. The next prime is 38180171. The reversal of 38180160 is 6108183.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77515 + ... + 78005.

It is an arithmetic number, because the mean of its divisors is an integer number (812292).

Almost surely, 2^38180160 is an apocalyptic number.

38180160 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 38180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68232528).

38180160 is an abundant number, since it is smaller than the sum of its proper divisors (98284896).

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

38180160 is an equidigital number, since it uses as much as digits as its factorization.

38180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 38180160 is about 6179.0096293824. The cubic root of 38180160 is about 336.7280133065.

The spelling of 38180160 in words is "thirty-eight million, one hundred eighty thousand, one hundred sixty".