338476320 has 720 divisors, whose sum is σ = 1532954808. Its totient is φ = 69672960.

The previous prime is 338476319. The next prime is 338476337. The reversal of 338476320 is 23674833.

It can be written as a sum of positive squares in 4 ways, for example, as 117418896 + 221057424 = 10836^2 + 14868^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×338476320³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8255500 + ... + 8255540.

Almost surely, 2^338476320 is an apocalyptic number.

338476320 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 338476320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766477404).

338476320 is an abundant number, since it is smaller than the sum of its proper divisors (1194478488).

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

338476320 is a wasteful number, since it uses less digits than its factorization.

338476320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 338476320 is about 18397.7259464315. The cubic root of 338476320 is about 696.9090381197.

The spelling of 338476320 in words is "three hundred thirty-eight million, four hundred seventy-six thousand, three hundred twenty".