338580858240 has 384 divisors, whose sum is σ = 1243039711680. Its totient is φ = 84731412480.

The previous prime is 338580858223. The next prime is 338580858311. The reversal of 338580858240 is 42858085833.

338580858240 is a `hidden beast` number, since 3 + 3 + 8 + 58 + 0 + 8 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×338580858240² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6997330 + ... + 7045550.

Almost surely, 2^338580858240 is an apocalyptic number.

338580858240 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 338580858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621519855840).

338580858240 is an abundant number, since it is smaller than the sum of its proper divisors (904458853440).

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

338580858240 is a wasteful number, since it uses less digits than its factorization.

338580858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48322 (or 48307 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 338580858240 in words is "three hundred thirty-eight billion, five hundred eighty million, eight hundred fifty-eight thousand, two hundred forty".