338135040 has 192 divisors, whose sum is σ = 1202947200. Its totient is φ = 90095616.

The previous prime is 338135033. The next prime is 338135047. The reversal of 338135040 is 40531833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (338135033) and next prime (338135047).

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

It is a super-2 number, since 2×338135040² = 228670610551603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 338134995 and 338135013.

It is not an unprimeable number, because it can be changed into a prime (338135047) 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, 275869 + ... + 277091.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^338135040 is an apocalyptic number.

338135040 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 338135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

338135040 is an abundant number, since it is smaller than the sum of its proper divisors (864812160).

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

338135040 is a wasteful number, since it uses less digits than its factorization.

338135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 338135040 is about 18388.4485479336. The cubic root of 338135040 is about 696.6747321192.

Adding to 338135040 its reverse (40531833), we get a palindrome (378666873).

The spelling of 338135040 in words is "three hundred thirty-eight million, one hundred thirty-five thousand, forty".