38814800 has 60 divisors (see below), whose sum is σ = 97330080. Its totient is φ = 14847360.

The previous prime is 38814793. The next prime is 38814827. The reversal of 38814800 is 841883.

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, 7091 + ... + 11309.

It is an arithmetic number, because the mean of its divisors is an integer number (1622168).

Almost surely, 2^38814800 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 38814800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48665040).

38814800 is an abundant number, since it is smaller than the sum of its proper divisors (58515280).

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

38814800 is a wasteful number, since it uses less digits than its factorization.

38814800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 38814800 is about 6230.1524860953. The cubic root of 38814800 is about 338.5834954654.

The spelling of 38814800 in words is "thirty-eight million, eight hundred fourteen thousand, eight hundred".