38025900 has 216 divisors, whose sum is σ = 136491264. Its totient is φ = 8764800.

The previous prime is 38025881. The next prime is 38025929. The reversal of 38025900 is 952083.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227617 + ... + 227783.

It is an arithmetic number, because the mean of its divisors is an integer number (631904).

Almost surely, 2^38025900 is an apocalyptic number.

38025900 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 38025900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

38025900 is an abundant number, since it is smaller than the sum of its proper divisors (98465364).

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

38025900 is a wasteful number, since it uses less digits than its factorization.

38025900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 38025900 is about 6166.5144125348. The cubic root of 38025900 is about 336.2739050550.

Adding to 38025900 its reverse (952083), we get a palindrome (38977983).

It can be divided in two parts, 38025 and 900, that multiplied together give a square (34222500 = 5850²).

The spelling of 38025900 in words is "thirty-eight million, twenty-five thousand, nine hundred".