338302347264 has 864 divisors, whose sum is σ = 1204824741120. Its totient is φ = 91039334400.

The previous prime is 338302347209. The next prime is 338302347289. The reversal of 338302347264 is 462743203833.

338302347264 is a `hidden beast` number, since 3 + 383 + 0 + 2 + 3 + 4 + 7 + 264 = 666.

It is a super-2 number, since 2×338302347264² (a number of 24 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 71 ways as a sum of consecutive naturals, for example, 1203922804 + ... + 1203923084.

It is an arithmetic number, because the mean of its divisors is an integer number (1394473080).

Almost surely, 2^338302347264 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 338302347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602412370560).

338302347264 is an abundant number, since it is smaller than the sum of its proper divisors (866522393856).

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

338302347264 is a wasteful number, since it uses less digits than its factorization.

338302347264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 338302347264 in words is "three hundred thirty-eight billion, three hundred two million, three hundred forty-seven thousand, two hundred sixty-four".