338467828608 has 640 divisors, whose sum is σ = 1260260379840. Its totient is φ = 87787929600.

The previous prime is 338467828583. The next prime is 338467828609. The reversal of 338467828608 is 806828764833.

338467828608 is a `hidden beast` number, since 3 + 38 + 467 + 82 + 8 + 60 + 8 = 666.

It is a super-2 number, since 2×338467828608² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338467828609) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57549828 + ... + 57555708.

Almost surely, 2^338467828608 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 338467828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630130189920).

338467828608 is an abundant number, since it is smaller than the sum of its proper divisors (921792551232).

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

338467828608 is a wasteful number, since it uses less digits than its factorization.

338467828608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5988 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 338467828608 in words is "three hundred thirty-eight billion, four hundred sixty-seven million, eight hundred twenty-eight thousand, six hundred eight".