338360929344 has 147 divisors (see below), whose sum is σ = 1007065892773. Its totient is φ = 112745094912.

The previous prime is 338360929331. The next prime is 338360929369. The reversal of 338360929344 is 443929063833.

The square root of 338360929344 is 581688.

It is a perfect power (a square), and thus also a powerful number.

338360929344 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 609 + 29 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138830760000 + 199530169344 = 372600^2 + 446688^2 .

It is a super-2 number, since 2×338360929344² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 125643262 + ... + 125645954.

Almost surely, 2^338360929344 is an apocalyptic number.

338360929344 is the 581688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338360929344

338360929344 is an abundant number, since it is smaller than the sum of its proper divisors (668704963429).

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

338360929344 is an frugal number, since it uses more digits than its factorization.

338360929344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 338360929344 in words is "three hundred thirty-eight billion, three hundred sixty million, nine hundred twenty-nine thousand, three hundred forty-four".