38782800 has 420 divisors, whose sum is σ = 168059680. Its totient is φ = 8398080.

The previous prime is 38782787. The next prime is 38782801. The reversal of 38782800 is 828783.

38782800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38782801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2041191 + ... + 2041209.

Almost surely, 2^38782800 is an apocalyptic number.

38782800 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 38782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84029840).

38782800 is an abundant number, since it is smaller than the sum of its proper divisors (129276880).

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

38782800 is a wasteful number, since it uses less digits than its factorization.

38782800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 38782800 is about 6227.5838011222. The cubic root of 38782800 is about 338.4904240022.

The spelling of 38782800 in words is "thirty-eight million, seven hundred eighty-two thousand, eight hundred".