338782500 has 300 divisors, whose sum is σ = 1270093440. Its totient is φ = 77112000.

The previous prime is 338782463. The next prime is 338782501. The reversal of 338782500 is 5287833.

338782500 is a `hidden beast` number, since 338 + 78 + 250 + 0 = 666.

338782500 is digitally balanced in base 3, 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 (300).

It is a super-2 number, since 2×338782500² = 229547164612500000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (338782501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1417381 + ... + 1417619.

Almost surely, 2^338782500 is an apocalyptic number.

338782500 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 338782500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635046720).

338782500 is an abundant number, since it is smaller than the sum of its proper divisors (931310940).

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

338782500 is a wasteful number, since it uses less digits than its factorization.

338782500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 338782500 is about 18406.0452025958. The cubic root of 338782500 is about 697.1191121969.

The spelling of 338782500 in words is "three hundred thirty-eight million, seven hundred eighty-two thousand, five hundred".