38214200 has 24 divisors (see below), whose sum is σ = 88848480. Its totient is φ = 15285600.

The previous prime is 38214167. The next prime is 38214203. The reversal of 38214200 is 241283.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38214203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 95336 + ... + 95735.

It is an arithmetic number, because the mean of its divisors is an integer number (3702020).

Almost surely, 2^38214200 is an apocalyptic number.

It is an amenable number.

38214200 is an abundant number, since it is smaller than the sum of its proper divisors (50634280).

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

38214200 is a wasteful number, since it uses less digits than its factorization.

38214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191087 (or 191078 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 38214200 is about 6181.7635024320. The cubic root of 38214200 is about 336.8280549409.

Adding to 38214200 its reverse (241283), we get a palindrome (38455483).

The spelling of 38214200 in words is "thirty-eight million, two hundred fourteen thousand, two hundred".