338116464 has 120 divisors (see below), whose sum is σ = 1129042320. Its totient is φ = 96598656.

The previous prime is 338116459. The next prime is 338116511. The reversal of 338116464 is 464611833.

It is a happy number.

338116464 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 1 + 646 + 4 = 666.

It is a super-2 number, since 2×338116464² = 228645486455726592, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13182 + ... + 29154.

It is an arithmetic number, because the mean of its divisors is an integer number (9408686).

Almost surely, 2^338116464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338116464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564521160).

338116464 is an abundant number, since it is smaller than the sum of its proper divisors (790925856).

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

338116464 is a wasteful number, since it uses less digits than its factorization.

338116464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16004 (or 15985 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 338116464 is about 18387.9434412878. The cubic root of 338116464 is about 696.6619742313.

The spelling of 338116464 in words is "three hundred thirty-eight million, one hundred sixteen thousand, four hundred sixty-four".