338808240 has 120 divisors (see below), whose sum is σ = 1142882208. Its totient is φ = 89948160.

The previous prime is 338808227. The next prime is 338808259. The reversal of 338808240 is 42808833.

It is a happy number.

338808240 is a `hidden beast` number, since 338 + 80 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×338808240² = 229582046983795200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 338808195 and 338808204.

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 23 ways as a sum of consecutive naturals, for example, 184125 + ... + 185955.

Almost surely, 2^338808240 is an apocalyptic number.

338808240 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 338808240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571441104).

338808240 is an abundant number, since it is smaller than the sum of its proper divisors (804073968).

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

338808240 is a wasteful number, since it uses less digits than its factorization.

338808240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 338808240 is about 18406.7444161101. The cubic root of 338808240 is about 697.1367669769.

The spelling of 338808240 in words is "three hundred thirty-eight million, eight hundred eight thousand, two hundred forty".