38275920 has 60 divisors (see below), whose sum is σ = 128545716. Its totient is φ = 10206720.

The previous prime is 38275879. The next prime is 38275927. The reversal of 38275920 is 2957283.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19820304 + 18455616 = 4452^2 + 4296^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38275927) 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, 25861 + ... + 27300.

Almost surely, 2^38275920 is an apocalyptic number.

38275920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38275920 is an abundant number, since it is smaller than the sum of its proper divisors (90269796).

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

38275920 is a wasteful number, since it uses less digits than its factorization.

38275920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53180 (or 53171 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38275920 is about 6186.7535913434. The cubic root of 38275920 is about 337.0092951206.

The spelling of 38275920 in words is "thirty-eight million, two hundred seventy-five thousand, nine hundred twenty".