38350080 has 108 divisors (see below), whose sum is σ = 132727140. Its totient is φ = 10223616.

The previous prime is 38350057. The next prime is 38350087. The reversal of 38350080 is 8005383.

38350080 is a `hidden beast` number, since 3 + 83 + 500 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14379264 + 23970816 = 3792^2 + 4896^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38350087) 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, 9856 + ... + 13184.

It is an arithmetic number, because the mean of its divisors is an integer number (1228955).

Almost surely, 2^38350080 is an apocalyptic number.

38350080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66363570).

38350080 is an abundant number, since it is smaller than the sum of its proper divisors (94377060).

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

38350080 is a wasteful number, since it uses less digits than its factorization.

38350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38350080 is about 6192.7441413319. The cubic root of 38350080 is about 337.2268077284.

The spelling of 38350080 in words is "thirty-eight million, three hundred fifty thousand, eighty".