338065280000 has 440 divisors, whose sum is σ = 982245580800. Its totient is φ = 113854464000.

The previous prime is 338065279973. The next prime is 338065280011. The reversal of 338065280000 is 82560833.

It is a super-2 number, since 2×338065280000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 264319361 + ... + 264320639.

It is an arithmetic number, because the mean of its divisors is an integer number (2232376320).

Almost surely, 2^338065280000 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 338065280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491122790400).

338065280000 is an abundant number, since it is smaller than the sum of its proper divisors (644180300800).

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

338065280000 is an equidigital number, since it uses as much as digits as its factorization.

338065280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 338065280000 in words is "three hundred thirty-eight billion, sixty-five million, two hundred eighty thousand".