38230800 has 60 divisors (see below), whose sum is σ = 122469840. Its totient is φ = 10194560.

The previous prime is 38230763. The next prime is 38230811. The reversal of 38230800 is 803283.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14730 + ... + 17129.

It is an arithmetic number, because the mean of its divisors is an integer number (2041164).

Almost surely, 2^38230800 is an apocalyptic number.

38230800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38230800 is an abundant number, since it is smaller than the sum of its proper divisors (84239040).

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

38230800 is a wasteful number, since it uses less digits than its factorization.

38230800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31880 (or 31869 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 38230800 is about 6183.1060155880. The cubic root of 38230800 is about 336.8768198529.

The spelling of 38230800 in words is "thirty-eight million, two hundred thirty thousand, eight hundred".