38305320 has 32 divisors (see below), whose sum is σ = 114916320. Its totient is φ = 10214720.

The previous prime is 38305313. The next prime is 38305321. The reversal of 38305320 is 2350383.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (38305321) 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 7 ways as a sum of consecutive naturals, for example, 159486 + ... + 159725.

It is an arithmetic number, because the mean of its divisors is an integer number (3591135).

Almost surely, 2^38305320 is an apocalyptic number.

38305320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38305320 is an abundant number, since it is smaller than the sum of its proper divisors (76611000).

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

38305320 is a wasteful number, since it uses less digits than its factorization.

38305320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319225 (or 319221 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 38305320 is about 6189.1291794565. The cubic root of 38305320 is about 337.0955594311.

The spelling of 38305320 in words is "thirty-eight million, three hundred five thousand, three hundred twenty".