338573088 has 384 divisors, whose sum is σ = 1241049600. Its totient is φ = 87588864.

The previous prime is 338573083. The next prime is 338573089. The reversal of 338573088 is 880375833.

It is a happy number.

338573088 is a `hidden beast` number, since 338 + 5 + 7 + 308 + 8 = 666.

It is a super-2 number, since 2×338573088² = 229263471835711488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338573083) 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, 3804148 + ... + 3804236.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2^338573088 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 338573088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620524800).

338573088 is an abundant number, since it is smaller than the sum of its proper divisors (902476512).

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

338573088 is a wasteful number, since it uses less digits than its factorization.

338573088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 338573088 is about 18400.3556487368. The cubic root of 338573088 is about 696.9754455896.

The spelling of 338573088 in words is "three hundred thirty-eight million, five hundred seventy-three thousand, eighty-eight".