338359680 has 320 divisors, whose sum is σ = 1239630480. Its totient is φ = 87920640.

The previous prime is 338359673. The next prime is 338359691. The reversal of 338359680 is 86953833.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×338359680² = 228974546099404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3162187 + ... + 3162293.

Almost surely, 2^338359680 is an apocalyptic number.

338359680 is a gapful number since it is divisible by the number (30) 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 338359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619815240).

338359680 is an abundant number, since it is smaller than the sum of its proper divisors (901270800).

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

338359680 is a wasteful number, since it uses less digits than its factorization.

338359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 338359680 is about 18394.5557162982. Note that the first 3 decimals coincide. The cubic root of 338359680 is about 696.8289765767.

The spelling of 338359680 in words is "three hundred thirty-eight million, three hundred fifty-nine thousand, six hundred eighty".