338432993280 has 144 divisors (see below), whose sum is σ = 1172948261940. Its totient is φ = 90248773632.

The previous prime is 338432993237. The next prime is 338432993341. The reversal of 338432993280 is 82399234833.

338432993280 is a `hidden beast` number, since 3 + 38 + 4 + 329 + 9 + 3 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 337663263744 + 769729536 = 581088^2 + 27744^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×338432993280² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1743957 + ... + 1928276.

Almost surely, 2^338432993280 is an apocalyptic number.

338432993280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338432993280 is an abundant number, since it is smaller than the sum of its proper divisors (834515268660).

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

338432993280 is a wasteful number, since it uses less digits than its factorization.

338432993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672266 (or 3672243 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 338432993280 in words is "three hundred thirty-eight billion, four hundred thirty-two million, nine hundred ninety-three thousand, two hundred eighty".