38305360 has 40 divisors (see below), whose sum is σ = 91474056. Its totient is φ = 14906880.

The previous prime is 38305321. The next prime is 38305381. The reversal of 38305360 is 6350383.

It can be written as a sum of positive squares in 4 ways, for example, as 15303744 + 23001616 = 3912^2 + 4796^2 .

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3511 + ... + 9430.

Almost surely, 2^38305360 is an apocalyptic number.

It is an amenable number.

38305360 is an abundant number, since it is smaller than the sum of its proper divisors (53168696).

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

38305360 is a wasteful number, since it uses less digits than its factorization.

38305360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12991 (or 12985 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 38305360 is about 6189.1324109280. The cubic root of 38305360 is about 337.0956767674.

The spelling of 38305360 in words is "thirty-eight million, three hundred five thousand, three hundred sixty".