338078664 has 128 divisors (see below), whose sum is σ = 1170892800. Its totient is φ = 87808320.

The previous prime is 338078639. The next prime is 338078669. The reversal of 338078664 is 466870833.

It is a super-2 number, since 2×338078664² = 228594366104049792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338078669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6469 + ... + 26795.

It is an arithmetic number, because the mean of its divisors is an integer number (9147600).

Almost surely, 2^338078664 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 338078664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585446400).

338078664 is an abundant number, since it is smaller than the sum of its proper divisors (832814136).

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

338078664 is a wasteful number, since it uses less digits than its factorization.

338078664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20360 (or 20350 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 338078664 is about 18386.9155651512. The cubic root of 338078664 is about 696.6360119699.

The spelling of 338078664 in words is "three hundred thirty-eight million, seventy-eight thousand, six hundred sixty-four".