338826240 has 440 divisors, whose sum is σ = 1307787360. Its totient is φ = 83607552.

The previous prime is 338826233. The next prime is 338826251. The reversal of 338826240 is 42628833.

338826240 is a `hidden beast` number, since 338 + 82 + 6 + 240 = 666.

It is a super-2 number, since 2×338826240² = 229606441825075200, 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 = 338826195 and 338826204.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 7879659 + ... + 7879701.

It is an arithmetic number, because the mean of its divisors is an integer number (2972244).

Almost surely, 2^338826240 is an apocalyptic number.

338826240 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 338826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653893680).

338826240 is an abundant number, since it is smaller than the sum of its proper divisors (968961120).

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

338826240 is a wasteful number, since it uses less digits than its factorization.

338826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 338826240 is about 18407.2333608286. The cubic root of 338826240 is about 697.1491124456.

The spelling of 338826240 in words is "three hundred thirty-eight million, eight hundred twenty-six thousand, two hundred forty".