338120640 has 336 divisors, whose sum is σ = 1367978976. Its totient is φ = 75571200.

The previous prime is 338120639. The next prime is 338120641. The reversal of 338120640 is 46021833.

It is a happy number.

338120640 is a `hidden beast` number, since 3 + 3 + 8 + 12 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (338120639) and next prime (338120641).

It is a super-2 number, since 2×338120640² = 228651134388019200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338120641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411430 + ... + 412250.

It is an arithmetic number, because the mean of its divisors is an integer number (4071366).

Almost surely, 2^338120640 is an apocalyptic number.

338120640 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 338120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683989488).

338120640 is an abundant number, since it is smaller than the sum of its proper divisors (1029858336).

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

338120640 is a wasteful number, since it uses less digits than its factorization.

338120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 338120640 is about 18388.0569936032. The cubic root of 338120640 is about 696.6648423243.

The spelling of 338120640 in words is "three hundred thirty-eight million, one hundred twenty thousand, six hundred forty".