338675088 has 160 divisors (see below), whose sum is σ = 971937792. Its totient is φ = 101171200.

The previous prime is 338675083. The next prime is 338675107. The reversal of 338675088 is 880576833.

It is a happy number.

It is a super-2 number, since 2×338675088² = 229401630463615488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (338675081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1773073 + ... + 1773263.

Almost surely, 2^338675088 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 338675088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485968896).

338675088 is an abundant number, since it is smaller than the sum of its proper divisors (633262704).

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

338675088 is a wasteful number, since it uses less digits than its factorization.

338675088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 338675088 is about 18403.1271255730. The cubic root of 338675088 is about 697.0454298461.

The spelling of 338675088 in words is "three hundred thirty-eight million, six hundred seventy-five thousand, eighty-eight".