338916006 has 96 divisors (see below), whose sum is σ = 867458592. Its totient is φ = 94279680.

The previous prime is 338915921. The next prime is 338916023. The reversal of 338916006 is 600619833.

It is a happy number.

338916006 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 2×338916006² = 229728118245984072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 908436 + ... + 908808.

It is an arithmetic number, because the mean of its divisors is an integer number (9036027).

Almost surely, 2^338916006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338916006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433729296).

338916006 is an abundant number, since it is smaller than the sum of its proper divisors (528542586).

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

338916006 is a wasteful number, since it uses less digits than its factorization.

338916006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 338916006 is about 18409.6715342778. The cubic root of 338916006 is about 697.2106727718.

The spelling of 338916006 in words is "three hundred thirty-eight million, nine hundred sixteen thousand, six".