338722560 has 432 divisors, whose sum is σ = 1337511840. Its totient is φ = 82114560.

The previous prime is 338722513. The next prime is 338722577. The reversal of 338722560 is 65227833.

338722560 is a `hidden beast` number, since 338 + 72 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×338722560² = 229465945305907200, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30792955 + ... + 30792965.

Almost surely, 2^338722560 is an apocalyptic number.

338722560 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 338722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668755920).

338722560 is an abundant number, since it is smaller than the sum of its proper divisors (998789280).

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

338722560 is an frugal number, since it uses more digits than its factorization.

338722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 338722560 is about 18404.4168611776. The cubic root of 338722560 is about 697.0779965508.

The spelling of 338722560 in words is "three hundred thirty-eight million, seven hundred twenty-two thousand, five hundred sixty".