38083800 has 48 divisors (see below), whose sum is σ = 118061640. Its totient is φ = 10155520.

The previous prime is 38083789. The next prime is 38083807. The reversal of 38083800 is 838083.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38083807) 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 11 ways as a sum of consecutive naturals, for example, 31137 + ... + 32336.

Almost surely, 2^38083800 is an apocalyptic number.

38083800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38083800 is an abundant number, since it is smaller than the sum of its proper divisors (79977840).

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

38083800 is a wasteful number, since it uses less digits than its factorization.

38083800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63492 (or 63483 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 38083800 is about 6171.2073373044. The cubic root of 38083800 is about 336.4444939199. Note that the first 4 decimals are identical.

It can be divided in two parts, 38083 and 800, that added together give a palindrome (38883).

The spelling of 38083800 in words is "thirty-eight million, eighty-three thousand, eight hundred".