338607360 has 864 divisors, whose sum is σ = 1607074560. Its totient is φ = 63700992.

The previous prime is 338607349. The next prime is 338607371. The reversal of 338607360 is 63706833.

338607360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (338607349) and next prime (338607371).

It is a super-2 number, since 2×338607360² = 229309888492339200, which contains 22 as substring.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 884 × 684 × 560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17821431 + ... + 17821449.

It is an arithmetic number, because the mean of its divisors is an integer number (1860040).

Almost surely, 2^338607360 is an apocalyptic number.

338607360 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 338607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803537280).

338607360 is an abundant number, since it is smaller than the sum of its proper divisors (1268467200).

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

338607360 is a wasteful number, since it uses less digits than its factorization.

338607360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 338607360 is about 18401.2869115179. The cubic root of 338607360 is about 696.9989618676.

The spelling of 338607360 in words is "three hundred thirty-eight million, six hundred seven thousand, three hundred sixty".