338885664 has 192 divisors, whose sum is σ = 1013523840. Its totient is φ = 98426880.

The previous prime is 338885663. The next prime is 338885669. The reversal of 338885664 is 466588833.

It is a super-2 number, since 2×338885664² = 229686986529441792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338885663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1893127 + ... + 1893305.

It is an arithmetic number, because the mean of its divisors is an integer number (5278770).

Almost surely, 2^338885664 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 338885664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506761920).

338885664 is an abundant number, since it is smaller than the sum of its proper divisors (674638176).

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

338885664 is a wasteful number, since it uses less digits than its factorization.

338885664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 338885664 is about 18408.8474381206. The cubic root of 338885664 is about 697.1898658489.

The spelling of 338885664 in words is "three hundred thirty-eight million, eight hundred eighty-five thousand, six hundred sixty-four".