338670408 has 64 divisors (see below), whose sum is σ = 874748160. Its totient is φ = 109198656.

The previous prime is 338670389. The next prime is 338670457. The reversal of 338670408 is 804076833.

It is a Cunningham number, because it is equal to 18403²-1.

It is a super-2 number, since 2×338670408² = 229395290509772928, which contains 22 as substring.

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, 108891 + ... + 111957.

It is an arithmetic number, because the mean of its divisors is an integer number (13667940).

Almost surely, 2^338670408 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 338670408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437374080).

338670408 is an abundant number, since it is smaller than the sum of its proper divisors (536077752).

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

338670408 is a wasteful number, since it uses less digits than its factorization.

338670408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 338670408 is about 18402.9999728305. Note that the first 4 decimals coincide. The cubic root of 338670408 is about 697.0422191114.

The spelling of 338670408 in words is "three hundred thirty-eight million, six hundred seventy thousand, four hundred eight".