338562900 has 216 divisors, whose sum is σ = 1203777120. Its totient is φ = 78900480.

The previous prime is 338562857. The next prime is 338562901. The reversal of 338562900 is 9265833.

338562900 is a `hidden beast` number, since 3 + 3 + 8 + 562 + 90 + 0 = 666.

It is a super-2 number, since 2×338562900² = 229249674512820000, which contains 22 as substring.

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 (338562901) 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 71 ways as a sum of consecutive naturals, for example, 221539 + ... + 223061.

Almost surely, 2^338562900 is an apocalyptic number.

338562900 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 338562900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601888560).

338562900 is an abundant number, since it is smaller than the sum of its proper divisors (865214220).

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

338562900 is a wasteful number, since it uses less digits than its factorization.

338562900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 338562900 is about 18400.0788041791. The cubic root of 338562900 is about 696.9684546253.

The spelling of 338562900 in words is "three hundred thirty-eight million, five hundred sixty-two thousand, nine hundred".