338198708736 has 720 divisors, whose sum is σ = 1178908473600. Its totient is φ = 93003595776.

The previous prime is 338198708711. The next prime is 338198708773. The reversal of 338198708736 is 637807891833.

338198708736 is a `hidden beast` number, since 338 + 198 + 7 + 0 + 87 + 36 = 666.

It is a super-2 number, since 2×338198708736² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 71 ways as a sum of consecutive naturals, for example, 706051345 + ... + 706051823.

It is an arithmetic number, because the mean of its divisors is an integer number (1637372880).

Almost surely, 2^338198708736 is an apocalyptic number.

338198708736 is a gapful number since it is divisible by the number (36) 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 338198708736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589454236800).

338198708736 is an abundant number, since it is smaller than the sum of its proper divisors (840709764864).

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

338198708736 is a wasteful number, since it uses less digits than its factorization.

338198708736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 338198708736 in words is "three hundred thirty-eight billion, one hundred ninety-eight million, seven hundred eight thousand, seven hundred thirty-six".