38406160 has 40 divisors (see below), whose sum is σ = 96165720. Its totient is φ = 14180352.

The previous prime is 38406157. The next prime is 38406161. The reversal of 38406160 is 6160483.

It can be written as a sum of positive squares in 4 ways, for example, as 2262016 + 36144144 = 1504^2 + 6012^2 .

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

It is not an unprimeable number, because it can be changed into a prime (38406161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17425 + ... + 19504.

It is an arithmetic number, because the mean of its divisors is an integer number (2404143).

Almost surely, 2^38406160 is an apocalyptic number.

It is an amenable number.

38406160 is an abundant number, since it is smaller than the sum of its proper divisors (57759560).

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

38406160 is a wasteful number, since it uses less digits than its factorization.

38406160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36955 (or 36949 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 38406160 is about 6197.2703668631. The cubic root of 38406160 is about 337.3911052437.

It can be divided in two parts, 3840 and 6160, that added together give a 4-th power (10000 = 10⁴).

The spelling of 38406160 in words is "thirty-eight million, four hundred six thousand, one hundred sixty".