338533272 has 192 divisors, whose sum is σ = 1152403200. Its totient is φ = 87217920.

The previous prime is 338533267. The next prime is 338533289. The reversal of 338533272 is 272335833.

338533272 is a `hidden beast` number, since 3 + 385 + 3 + 3 + 272 = 666.

It is a super-2 number, since 2×338533272² = 229209552502051968, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258354 + ... + 1258622.

It is an arithmetic number, because the mean of its divisors is an integer number (6002100).

Almost surely, 2^338533272 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 338533272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576201600).

338533272 is an abundant number, since it is smaller than the sum of its proper divisors (813869928).

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

338533272 is a wasteful number, since it uses less digits than its factorization.

338533272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 519 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 338533272 is about 18399.2736813169. The cubic root of 338533272 is about 696.9481232150.

The spelling of 338533272 in words is "three hundred thirty-eight million, five hundred thirty-three thousand, two hundred seventy-two".