338660672 has 112 divisors (see below), whose sum is σ = 829543680. Its totient is φ = 133865472.

The previous prime is 338660669. The next prime is 338660701. The reversal of 338660672 is 276066833.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×338660672² = 229382101518983168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403229 + ... + 404067.

It is an arithmetic number, because the mean of its divisors is an integer number (7406640).

Almost surely, 2^338660672 is an apocalyptic number.

338660672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338660672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414771840).

338660672 is an abundant number, since it is smaller than the sum of its proper divisors (490883008).

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

338660672 is a wasteful number, since it uses less digits than its factorization.

338660672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The square root of 338660672 is about 18402.7354488402. The cubic root of 338660672 is about 697.0355395906.

The spelling of 338660672 in words is "three hundred thirty-eight million, six hundred sixty thousand, six hundred seventy-two".