338036518080 has 448 divisors, whose sum is σ = 1206147732480. Its totient is φ = 89118793728.

The previous prime is 338036518067. The next prime is 338036518117. The reversal of 338036518080 is 80815630833.

338036518080 is a `hidden beast` number, since 3 + 38 + 0 + 365 + 180 + 80 = 666.

It is a super-2 number, since 2×338036518080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 410736549 + ... + 410737371.

Almost surely, 2^338036518080 is an apocalyptic number.

338036518080 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 338036518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603073866240).

338036518080 is an abundant number, since it is smaller than the sum of its proper divisors (868111214400).

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

338036518080 is a wasteful number, since it uses less digits than its factorization.

338036518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 338036518080 in words is "three hundred thirty-eight billion, thirty-six million, five hundred eighteen thousand, eighty".