338405760 has 576 divisors, whose sum is σ = 1496523600. Its totient is φ = 69672960.

The previous prime is 338405741. The next prime is 338405761. The reversal of 338405760 is 67504833.

It is a happy number.

338405760 is a `hidden beast` number, since 3 + 3 + 84 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×338405760² = 229036916802355200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338405761) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3104586 + ... + 3104694.

Almost surely, 2^338405760 is an apocalyptic number.

338405760 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 338405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748261800).

338405760 is an abundant number, since it is smaller than the sum of its proper divisors (1158117840).

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

338405760 is a wasteful number, since it uses less digits than its factorization.

338405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 338405760 is about 18395.8082181784. The cubic root of 338405760 is about 696.8606080266.

The spelling of 338405760 in words is "three hundred thirty-eight million, four hundred five thousand, seven hundred sixty".