38340800 has 84 divisors (see below), whose sum is σ = 97511616. Its totient is φ = 14822400.

The previous prime is 38340761. The next prime is 38340847. The reversal of 38340800 is 804383.

It is a self number, because there is not a number n which added to its sum of digits gives 38340800.

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, 49214 + ... + 49986.

Almost surely, 2^38340800 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 38340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48755808).

38340800 is an abundant number, since it is smaller than the sum of its proper divisors (59170816).

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

38340800 is a wasteful number, since it uses less digits than its factorization.

38340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 38340800 is about 6191.9948320392. The cubic root of 38340800 is about 337.1996046801.

The spelling of 38340800 in words is "thirty-eight million, three hundred forty thousand, eight hundred".