338165760 has 160 divisors (see below), whose sum is σ = 1107295200. Its totient is φ = 88080384.

The previous prime is 338165753. The next prime is 338165767. The reversal of 338165760 is 67561833.

It is an interprime number because it is at equal distance from previous prime (338165753) and next prime (338165767).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×338165760³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (338165767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7864299 + ... + 7864341.

It is an arithmetic number, because the mean of its divisors is an integer number (6920595).

Almost surely, 2^338165760 is an apocalyptic number.

338165760 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 338165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553647600).

338165760 is an abundant number, since it is smaller than the sum of its proper divisors (769129440).

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

338165760 is an frugal number, since it uses more digits than its factorization.

338165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 338165760 is about 18389.2838359736. The cubic root of 338165760 is about 696.6958294099.

The spelling of 338165760 in words is "three hundred thirty-eight million, one hundred sixty-five thousand, seven hundred sixty".