338212705652640 has 1728 divisors, whose sum is σ = 1530473846428800. Its totient is φ = 67225125961728.

The previous prime is 338212705652629. The next prime is 338212705652663. The reversal of 338212705652640 is 46256507212833.

338212705652640 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 1 + 2 + 70 + 5 + 6 + 526 + 40 = 666.

It is a super-3 number, since 3×338212705652640³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3119615074 + ... + 3119723486.

It is an arithmetic number, because the mean of its divisors is an integer number (885690883350).

Almost surely, 2^{338212705652640} is an apocalyptic number.

338212705652640 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 338212705652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765236923214400).

338212705652640 is an abundant number, since it is smaller than the sum of its proper divisors (1192261140776160).

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

338212705652640 is a wasteful number, since it uses less digits than its factorization.

338212705652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108659 (or 108641 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 338212705652640 in words is "three hundred thirty-eight trillion, two hundred twelve billion, seven hundred five million, six hundred fifty-two thousand, six hundred forty".