338908581360 has 960 divisors, whose sum is σ = 1261179279360. Its totient is φ = 84473487360.

The previous prime is 338908581359. The next prime is 338908581379. The reversal of 338908581360 is 63185809833.

It is a happy number.

It is a super-2 number, since 2×338908581360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 338908581297 and 338908581306.

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, 3109252986 + ... + 3109253094.

It is an arithmetic number, because the mean of its divisors is an integer number (1313728416).

Almost surely, 2^338908581360 is an apocalyptic number.

338908581360 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 338908581360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630589639680).

338908581360 is an abundant number, since it is smaller than the sum of its proper divisors (922270698000).

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

338908581360 is a wasteful number, since it uses less digits than its factorization.

338908581360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 338908581360 in words is "three hundred thirty-eight billion, nine hundred eight million, five hundred eighty-one thousand, three hundred sixty".