38304180 has 36 divisors (see below), whose sum is σ = 116189892. Its totient is φ = 10214400.

The previous prime is 38304173. The next prime is 38304187. The reversal of 38304180 is 8140383.

It is an interprime number because it is at equal distance from previous prime (38304173) and next prime (38304187).

It can be written as a sum of positive squares in 2 ways, for example, as 25040016 + 13264164 = 5004^2 + 3642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38304187) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106221 + ... + 106580.

It is an arithmetic number, because the mean of its divisors is an integer number (3227497).

Almost surely, 2^38304180 is an apocalyptic number.

38304180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38304180 is an abundant number, since it is smaller than the sum of its proper divisors (77885712).

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

38304180 is a wasteful number, since it uses less digits than its factorization.

38304180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212816 (or 212811 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38304180 is about 6189.0370818084. The cubic root of 38304180 is about 337.0922153111.

The spelling of 38304180 in words is "thirty-eight million, three hundred four thousand, one hundred eighty".