338655408 has 320 divisors, whose sum is σ = 1157259264. Its totient is φ = 82944000.

The previous prime is 338655407. The next prime is 338655431. The reversal of 338655408 is 804556833.

It is a super-2 number, since 2×338655408² = 229374970735292928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 338655408.

It is not an unprimeable number, because it can be changed into a prime (338655407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5551698 + ... + 5551758.

Almost surely, 2^338655408 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 338655408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578629632).

338655408 is an abundant number, since it is smaller than the sum of its proper divisors (818603856).

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

338655408 is a wasteful number, since it uses less digits than its factorization.

338655408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 338655408 is about 18402.5924260687. The cubic root of 338655408 is about 697.0319280955.

The spelling of 338655408 in words is "three hundred thirty-eight million, six hundred fifty-five thousand, four hundred eight".