338081040 has 560 divisors, whose sum is σ = 1405195776. Its totient is φ = 74649600.

The previous prime is 338081021. The next prime is 338081069. The reversal of 338081040 is 40180833.

It is a super-2 number, since 2×338081040² = 228597579214963200, 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 = 338080995 and 338081013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10905825 + ... + 10905855.

Almost surely, 2^338081040 is an apocalyptic number.

338081040 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 338081040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702597888).

338081040 is an abundant number, since it is smaller than the sum of its proper divisors (1067114736).

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

338081040 is a wasteful number, since it uses less digits than its factorization.

338081040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 338081040 is about 18386.9801762008. The cubic root of 338081040 is about 696.6376439405.

The spelling of 338081040 in words is "three hundred thirty-eight million, eighty-one thousand, forty".