338676817920 has 1792 divisors, whose sum is σ = 1467581276160. Its totient is φ = 64776830976.

The previous prime is 338676817877. The next prime is 338676817949. The reversal of 338676817920 is 29718676833.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×338676817920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6390128614 + ... + 6390128666.

Almost surely, 2^338676817920 is an apocalyptic number.

338676817920 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 338676817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733790638080).

338676817920 is an abundant number, since it is smaller than the sum of its proper divisors (1128904458240).

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

338676817920 is a wasteful number, since it uses less digits than its factorization.

338676817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 338676817920 in words is "three hundred thirty-eight billion, six hundred seventy-six million, eight hundred seventeen thousand, nine hundred twenty".