338644080 has 240 divisors, whose sum is σ = 1223894880. Its totient is φ = 83607552.

The previous prime is 338644079. The next prime is 338644139. The reversal of 338644080 is 80446833.

338644080 is a `hidden beast` number, since 3 + 3 + 8 + 644 + 0 + 8 + 0 = 666.

338644080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×338644080² = 229359625838092800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 893331 + ... + 893709.

It is an arithmetic number, because the mean of its divisors is an integer number (5099562).

Almost surely, 2^338644080 is an apocalyptic number.

338644080 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 338644080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611947440).

338644080 is an abundant number, since it is smaller than the sum of its proper divisors (885250800).

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

338644080 is a wasteful number, since it uses less digits than its factorization.

338644080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 338644080 is about 18402.2846407722. The cubic root of 338644080 is about 697.0241561189.

The spelling of 338644080 in words is "three hundred thirty-eight million, six hundred forty-four thousand, eighty".