338565120 has 192 divisors, whose sum is σ = 1103880960. Its totient is φ = 88571904.

The previous prime is 338565107. The next prime is 338565121. The reversal of 338565120 is 21565833.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×338565120² = 229252680961228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338565121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3164107 + ... + 3164213.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2^338565120 is an apocalyptic number.

338565120 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 338565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551940480).

338565120 is an abundant number, since it is smaller than the sum of its proper divisors (765315840).

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

338565120 is a wasteful number, since it uses less digits than its factorization.

338565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 338565120 is about 18400.1391299088. The cubic root of 338565120 is about 696.9699779923.

The spelling of 338565120 in words is "three hundred thirty-eight million, five hundred sixty-five thousand, one hundred twenty".