338345640 has 256 divisors, whose sum is σ = 1203724800. Its totient is φ = 84344832.

The previous prime is 338345633. The next prime is 338345669. The reversal of 338345640 is 46543833.

338345640 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 4 + 5 + 640 = 666.

It is a super-2 number, since 2×338345640² = 228955544214019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 338345595 and 338345604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316392 + ... + 1316648.

It is an arithmetic number, because the mean of its divisors is an integer number (4702050).

Almost surely, 2^338345640 is an apocalyptic number.

338345640 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 338345640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601862400).

338345640 is an abundant number, since it is smaller than the sum of its proper divisors (865379160).

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

338345640 is a wasteful number, since it uses less digits than its factorization.

338345640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 338345640 is about 18394.1740776801. The cubic root of 338345640 is about 696.8193382986.

The spelling of 338345640 in words is "three hundred thirty-eight million, three hundred forty-five thousand, six hundred forty".