38630160 has 60 divisors (see below), whose sum is σ = 129735372. Its totient is φ = 10301184.

The previous prime is 38630149. The next prime is 38630167. The reversal of 38630160 is 6103683.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 31404816 = 2688^2 + 5604^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38630167) 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 11 ways as a sum of consecutive naturals, for example, 26107 + ... + 27546.

Almost surely, 2^38630160 is an apocalyptic number.

38630160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38630160 is an abundant number, since it is smaller than the sum of its proper divisors (91105212).

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

38630160 is a wasteful number, since it uses less digits than its factorization.

38630160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53672 (or 53663 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 38630160 is about 6215.3165647455. The cubic root of 38630160 is about 338.0457671765.

The spelling of 38630160 in words is "thirty-eight million, six hundred thirty thousand, one hundred sixty".