38286200 has 48 divisors (see below), whose sum is σ = 90931680. Its totient is φ = 14984960.

The previous prime is 38286187. The next prime is 38286217. The reversal of 38286200 is 268283.

It is a super-2 number, since 2×38286200² = 2931666220880000, 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7364 + ... + 11436.

It is an arithmetic number, because the mean of its divisors is an integer number (1894410).

Almost surely, 2^38286200 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 38286200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45465840).

38286200 is an abundant number, since it is smaller than the sum of its proper divisors (52645480).

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

38286200 is a wasteful number, since it uses less digits than its factorization.

38286200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 38286200 is about 6187.5843428595. The cubic root of 38286200 is about 337.0394633085.

The spelling of 38286200 in words is "thirty-eight million, two hundred eighty-six thousand, two hundred".