338682280655800 has 768 divisors, whose sum is σ = 869745475584000. Its totient is φ = 122155380695040.

The previous prime is 338682280655737. The next prime is 338682280655813. The reversal of 338682280655800 is 8556082286833.

It is a happy number.

It is a super-2 number, since 2×338682280655800² (a number of 30 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 191 ways as a sum of consecutive naturals, for example, 731495206369 + ... + 731495206831.

It is an arithmetic number, because the mean of its divisors is an integer number (1132481088000).

Almost surely, 2^{338682280655800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338682280655800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434872737792000).

338682280655800 is an abundant number, since it is smaller than the sum of its proper divisors (531063194928200).

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

338682280655800 is a wasteful number, since it uses less digits than its factorization.

338682280655800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 64.

The spelling of 338682280655800 in words is "three hundred thirty-eight trillion, six hundred eighty-two billion, two hundred eighty million, six hundred fifty-five thousand, eight hundred".