338506640220 has 576 divisors, whose sum is σ = 1152686868480. Its totient is φ = 73962749952.

The previous prime is 338506640201. The next prime is 338506640233. The reversal of 338506640220 is 22046605833.

It is a happy number.

It is a super-2 number, since 2×338506640220² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1317146332 + ... + 1317146588.

It is an arithmetic number, because the mean of its divisors is an integer number (2001192480).

Almost surely, 2^338506640220 is an apocalyptic number.

338506640220 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 338506640220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576343434240).

338506640220 is an abundant number, since it is smaller than the sum of its proper divisors (814180228260).

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

338506640220 is a wasteful number, since it uses less digits than its factorization.

338506640220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 338506640220 in words is "three hundred thirty-eight billion, five hundred six million, six hundred forty thousand, two hundred twenty".