38968050 has 144 divisors (see below), whose sum is σ = 112805280. Its totient is φ = 8870400.

The previous prime is 38968043. The next prime is 38968073. The reversal of 38968050 is 5086983.

38968050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 344794 + ... + 344906.

It is an arithmetic number, because the mean of its divisors is an integer number (783370).

Almost surely, 2^38968050 is an apocalyptic number.

38968050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38968050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56402640).

38968050 is an abundant number, since it is smaller than the sum of its proper divisors (73837230).

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

38968050 is a wasteful number, since it uses less digits than its factorization.

38968050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 38968050 is about 6242.4394270189. The cubic root of 38968050 is about 339.0285128427.

The spelling of 38968050 in words is "thirty-eight million, nine hundred sixty-eight thousand, fifty".