38146500 has 216 divisors, whose sum is σ = 140795928. Its totient is φ = 8668800.

The previous prime is 38146477. The next prime is 38146529. The reversal of 38146500 is 564183.

38146500 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 650 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 38118276 = 168^2 + 6174^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 220414 + ... + 220586.

It is an arithmetic number, because the mean of its divisors is an integer number (651833).

Almost surely, 2^38146500 is an apocalyptic number.

38146500 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 38146500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70397964).

38146500 is an abundant number, since it is smaller than the sum of its proper divisors (102649428).

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

38146500 is a wasteful number, since it uses less digits than its factorization.

38146500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

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

The square root of 38146500 is about 6176.2852913382. The cubic root of 38146500 is about 336.6290299832.

The spelling of 38146500 in words is "thirty-eight million, one hundred forty-six thousand, five hundred".