338586966 has 88 divisors (see below), whose sum is σ = 790779744. Its totient is φ = 108650160.

The previous prime is 338586961. The next prime is 338586971. The reversal of 338586966 is 669685833.

It is an interprime number because it is at equal distance from previous prime (338586961) and next prime (338586971).

It is a super-2 number, since 2×338586966² = 229282267090170312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338586961) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 5550576 + ... + 5550636.

Almost surely, 2^338586966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338586966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395389872).

338586966 is an abundant number, since it is smaller than the sum of its proper divisors (452192778).

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

338586966 is an frugal number, since it uses more digits than its factorization.

338586966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 338586966 is about 18400.7327571486. The cubic root of 338586966 is about 696.9849683912.

The spelling of 338586966 in words is "three hundred thirty-eight million, five hundred eighty-six thousand, nine hundred sixty-six".