38681900 has 36 divisors (see below), whose sum is σ = 84447720. Its totient is φ = 15379200.

The previous prime is 38681899. The next prime is 38681917. The reversal of 38681900 is 918683.

38681900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38681900² = 2992578775220000, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 16820 + ... + 18980.

It is an arithmetic number, because the mean of its divisors is an integer number (2345770).

Almost surely, 2^38681900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38681900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42223860).

38681900 is an abundant number, since it is smaller than the sum of its proper divisors (45765820).

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

38681900 is a wasteful number, since it uses less digits than its factorization.

38681900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 38681900 is about 6219.4774700131. The cubic root of 38681900 is about 338.1966224070.

The spelling of 38681900 in words is "thirty-eight million, six hundred eighty-one thousand, nine hundred".