323338138200 has 768 divisors, whose sum is σ = 1426130150400. Its totient is φ = 65368166400.

The previous prime is 323338138199. The next prime is 323338138219. The reversal of 323338138200 is 2831833323.

It is a super-2 number, since 2×323338138200² (a number of 24 digits) 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15374092 + ... + 15395108.

It is an arithmetic number, because the mean of its divisors is an integer number (1856940300).

Almost surely, 2^323338138200 is an apocalyptic number.

323338138200 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 323338138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713065075200).

323338138200 is an abundant number, since it is smaller than the sum of its proper divisors (1102792012200).

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

323338138200 is a wasteful number, since it uses less digits than its factorization.

323338138200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21097 (or 21082 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 323338138200 in words is "three hundred twenty-three billion, three hundred thirty-eight million, one hundred thirty-eight thousand, two hundred".