338213952 has 84 divisors (see below), whose sum is σ = 972036156. Its totient is φ = 112435200.

The previous prime is 338213947. The next prime is 338213971. The reversal of 338213952 is 259312833.

It can be written as a sum of positive squares in 2 ways, for example, as 301925376 + 36288576 = 17376^2 + 6024^2 .

It is a super-3 number, since 3×338213952³ (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 11 ways as a sum of consecutive naturals, for example, 345688 + ... + 346664.

It is an arithmetic number, because the mean of its divisors is an integer number (11571859).

Almost surely, 2^338213952 is an apocalyptic number.

338213952 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 338213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486018078).

338213952 is an abundant number, since it is smaller than the sum of its proper divisors (633822204).

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

338213952 is a wasteful number, since it uses less digits than its factorization.

338213952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1583 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 338213952 is about 18390.5941176461. The cubic root of 338213952 is about 696.7289232104.

It can be divided in two parts, 33821 and 3952, that added together give a palindrome (37773).

The spelling of 338213952 in words is "three hundred thirty-eight million, two hundred thirteen thousand, nine hundred fifty-two".