38814000 has 80 divisors (see below), whose sum is σ = 125155680. Its totient is φ = 10348800.

The previous prime is 38813987. The next prime is 38814019. The reversal of 38814000 is 41883.

It is a tau number, because it is divible by the number of its divisors (80).

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2766 + ... + 9234.

It is an arithmetic number, because the mean of its divisors is an integer number (1564446).

Almost surely, 2^38814000 is an apocalyptic number.

38814000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62577840).

38814000 is an abundant number, since it is smaller than the sum of its proper divisors (86341680).

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

38814000 is a wasteful number, since it uses less digits than its factorization.

38814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6495 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 38814000 is about 6230.0882818785. The cubic root of 38814000 is about 338.5811693024.

Adding to 38814000 its reverse (41883), we get a palindrome (38855883).

The spelling of 38814000 in words is "thirty-eight million, eight hundred fourteen thousand".