338072464 has 40 divisors (see below), whose sum is σ = 669332160. Its totient is φ = 165379200.

The previous prime is 338072369. The next prime is 338072479. The reversal of 338072464 is 464270833.

It is a happy number.

338072464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338072464² = 228585981830062592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 156834 + ... + 158974.

It is an arithmetic number, because the mean of its divisors is an integer number (16733304).

Almost surely, 2^338072464 is an apocalyptic number.

It is an amenable number.

338072464 is a deficient number, since it is larger than the sum of its proper divisors (331259696).

338072464 is a wasteful number, since it uses less digits than its factorization.

338072464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 338072464 is about 18386.7469662254. The cubic root of 338072464 is about 696.6317534249.

The spelling of 338072464 in words is "three hundred thirty-eight million, seventy-two thousand, four hundred sixty-four".