338757120 has 480 divisors, whose sum is σ = 1347904800. Its totient is φ = 80510976.

The previous prime is 338757073. The next prime is 338757121. The reversal of 338757120 is 21757833.

338757120 is a `hidden beast` number, since 3 + 3 + 87 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×338757120² = 229512772701388800, 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 not an unprimeable number, because it can be changed into a prime (338757121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11681266 + ... + 11681294.

It is an arithmetic number, because the mean of its divisors is an integer number (2808135).

Almost surely, 2^338757120 is an apocalyptic number.

338757120 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 338757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673952400).

338757120 is an abundant number, since it is smaller than the sum of its proper divisors (1009147680).

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

338757120 is a wasteful number, since it uses less digits than its factorization.

338757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 338757120 is about 18405.3557422833. The cubic root of 338757120 is about 697.1017034613.

The spelling of 338757120 in words is "three hundred thirty-eight million, seven hundred fifty-seven thousand, one hundred twenty".