38395200 has 168 divisors, whose sum is σ = 132913120. Its totient is φ = 9676800.

The previous prime is 38395199. The next prime is 38395213. The reversal of 38395200 is 259383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 90990 + ... + 91410.

Almost surely, 2^38395200 is an apocalyptic number.

38395200 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 38395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66456560).

38395200 is an abundant number, since it is smaller than the sum of its proper divisors (94517920).

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

38395200 is a wasteful number, since it uses less digits than its factorization.

38395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 38395200 is about 6196.3860434934. The cubic root of 38395200 is about 337.3590083239.

The spelling of 38395200 in words is "thirty-eight million, three hundred ninety-five thousand, two hundred".