38863200 has 72 divisors (see below), whose sum is σ = 126507528. Its totient is φ = 10362880.

The previous prime is 38863183. The next prime is 38863213. The reversal of 38863200 is 236883.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5697 + ... + 10496.

It is an arithmetic number, because the mean of its divisors is an integer number (1757049).

Almost surely, 2^38863200 is an apocalyptic number.

38863200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38863200 is an abundant number, since it is smaller than the sum of its proper divisors (87644328).

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

38863200 is a wasteful number, since it uses less digits than its factorization.

38863200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16216 (or 16203 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38863200 is about 6234.0356110629. The cubic root of 38863200 is about 338.7241689067.

The spelling of 38863200 in words is "thirty-eight million, eight hundred sixty-three thousand, two hundred".