38958300 has 144 divisors (see below), whose sum is σ = 128325120. Its totient is φ = 10134720.

The previous prime is 38958287. The next prime is 38958307. The reversal of 38958300 is 385983.

38958300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (38958307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 126747 + ... + 127053.

Almost surely, 2^38958300 is an apocalyptic number.

38958300 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 38958300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64162560).

38958300 is an abundant number, since it is smaller than the sum of its proper divisors (89366820).

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

38958300 is a wasteful number, since it uses less digits than its factorization.

38958300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 38958300 is about 6241.6584334614. The cubic root of 38958300 is about 339.0002349438. Note that the first 3 decimals are identical.

The spelling of 38958300 in words is "thirty-eight million, nine hundred fifty-eight thousand, three hundred".