338821152 has 96 divisors (see below), whose sum is σ = 974332800. Its totient is φ = 102617088.

The previous prime is 338821111. The next prime is 338821157. The reversal of 338821152 is 251128833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×338821152² = 229599546085214208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338821157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43749 + ... + 50907.

It is an arithmetic number, because the mean of its divisors is an integer number (10149300).

Almost surely, 2^338821152 is an apocalyptic number.

338821152 is a gapful number since it is divisible by the number (32) 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 338821152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487166400).

338821152 is an abundant number, since it is smaller than the sum of its proper divisors (635511648).

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

338821152 is a wasteful number, since it uses less digits than its factorization.

338821152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7218 (or 7210 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 338821152 is about 18407.0951537715. The cubic root of 338821152 is about 697.1456228375.

Adding to 338821152 its reverse (251128833), we get a palindrome (589949985).

The spelling of 338821152 in words is "three hundred thirty-eight million, eight hundred twenty-one thousand, one hundred fifty-two".