38404800 has 336 divisors, whose sum is σ = 161259520. Its totient is φ = 8709120.

The previous prime is 38404777. The next prime is 38404801. The reversal of 38404800 is 840483.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (38404801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 302337 + ... + 302463.

Almost surely, 2^38404800 is an apocalyptic number.

38404800 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 38404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80629760).

38404800 is an abundant number, since it is smaller than the sum of its proper divisors (122854720).

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

38404800 is a wasteful number, since it uses less digits than its factorization.

38404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 38404800 is about 6197.1606401642. The cubic root of 38404800 is about 337.3871227461.

It can be divided in two parts, 38404 and 800, that added together give a square (39204 = 198²).

The spelling of 38404800 in words is "thirty-eight million, four hundred four thousand, eight hundred".