338762481120 has 384 divisors, whose sum is σ = 1359362995200. Its totient is φ = 77184976896.

The previous prime is 338762481077. The next prime is 338762481193. The reversal of 338762481120 is 21184267833.

338762481120 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 624 + 8 + 1 + 12 + 0 = 666.

It is a super-2 number, since 2×338762481120² (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 a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9568411 + ... + 9603749.

It is an arithmetic number, because the mean of its divisors is an integer number (3540007800).

Almost surely, 2^338762481120 is an apocalyptic number.

338762481120 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 338762481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679681497600).

338762481120 is an abundant number, since it is smaller than the sum of its proper divisors (1020600514080).

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

338762481120 is a wasteful number, since it uses less digits than its factorization.

338762481120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35687 (or 35673 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 338762481120 in words is "three hundred thirty-eight billion, seven hundred sixty-two million, four hundred eighty-one thousand, one hundred twenty".