338900459328 has 224 divisors, whose sum is σ = 1021405120000. Its totient is φ = 111533220864.

The previous prime is 338900459299. The next prime is 338900459351. The reversal of 338900459328 is 823954009833.

It is a happy number.

It is a super-2 number, since 2×338900459328² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 11042148 + ... + 11072796.

Almost surely, 2^338900459328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338900459328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510702560000).

338900459328 is an abundant number, since it is smaller than the sum of its proper divisors (682504660672).

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

338900459328 is an frugal number, since it uses more digits than its factorization.

338900459328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30761 (or 30733 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 338900459328 in words is "three hundred thirty-eight billion, nine hundred million, four hundred fifty-nine thousand, three hundred twenty-eight".